I was not certain whether you intended to play with UL or not- Often this decision is made up front and setting feedback and the requisite compensation and stability tuning proceeds with that decision baked in. You now know how to set the feedback level and compensate it, so if any adjustment is necessary you will be able to adjust. The 25% ultra linear ratio is quite a nice fit for the 6V6GT- it is a "shallow" ratio, providing much more of a pure pentode level of output power than with a much deeper 40% tap, yet providing more linearity and less distortion. It is really a matter of taste, your experience with it will be affected by the speakers you use, the volumes, and music selections you prefer to listen to. It's nice to have the option, and be able to make any necessary adjustments.
You are on the right path with compensating the feedback. To a first order, the 82pF from before, or the 70pF you have now are both in the ball park and would result in a most enjoyable amplifier. (I hope you are listening to it now.) Being detail oriented in dialing this in now is providing an excellent teaching example on how this is done for your future builds, and I have every confidence that you will achieve a nice flat pass-band with just a slightly higher value than the 70pF currently.
I was approaching the tuning process in an ordered fashion, in optimizing the feedback path and compensation first, then we were going to proceed with stability tuning. This process was laid out in expert fashion in a conversation that I had with Dave Gillespie in which
@gadget73 was included. First, set the amount and compensate feedback, then, proceed with stability tuning. It is done in this order because the amount of feedback, and the solution used to compensate it have significant impact on the degree of stability tuning necessary afterwards- decrease feedback, and decrease the amount of compensation (so you have more ringing) and it will actually be easier to achieve stability. That is counter intuitive, but true.
The shelf network that
@gadget73 wisely indicates may be needed, is part of the frequency limiting done to achieve stability and we would explore that next. It is composed of a small value capacitor in series with a resistor that is placed in parallel with the 470K plate resistor of the 6AN8 pentode. I prefer to connect this between the plate and the 300V supply because it is usually easier and there is less voltage drop across the cap, rather than plate to ground- but either work identically as both the 300V and ground are "AC ground". Another method of adding stability margin is a zobel network directly across the speaker output terminals- also a shelf network of series capacitor and resistor. This is less favored by Dave Gillespie, as it is a bit of a brute force approach, but it can provide necessary margin in higher gain or higher power situations, or where the shelf network may already be impinging upon the audio band.
You might be wondering, why all this concern about stability? I don't see any oscillation in my amplifier. Well, any vacuum tube amplifier should be able to tolerate being powered on while there is no output speaker load connected. This is why I had you convert your load so you can still scope while it is switched open. That does not mean any significant signal should be applied- many output transformers have been burned open when the speaker connection is lost while the the amplifier is putting out power. If output load is lost while driving a large plate signal into the primary of the transformer the inductive backlash can easily arc across a winding. This test is done with very little signal, and that is not even strictly necessary. The ability of the amplifier to remain stable with no load is further tested by determining it's margin- by placing a small amount of capacitance across the open output, and increasing that capacitance in steps to determine how much pure capacitance load the amp can tolerate before it goes unstable. This is actually important because sometimes a speaker cable may be connected with no speaker connected at the far end. The parasitic capacitance of the cable itself can cause oscillation if you don't have some margin. But, overall, this is not even really about stability only under those conditions. An amplifier that has very little stability margin with no load can actually be partially unstable WITH load. Dave and I both saw this observing low frequency response with amps operating with too little margin with full rated load. On the left was mine at 10Hz on a 6BQ5 push-pull, on the right is Dave's on a Magnavox 8800 6V6GT push-pull at 90Hz.
So, once you are content with your feedback compensation, (after finally choosing ultra linear or not), the amp should be connected to the test setup with rated load enabled, and a very small amplitude square wave driven to the output. In the example below I used a 10kHz at ~2Vrms. You generally want to use a high enough frequency square wave so your scope is operating at a time resolution that enables you to clearly see the oscillation. Then, switch the load to open. The shape and amplitude of the square wave will change, but you should not see oscillation. If you do, turn the load back on and you know you have work to do. If the waveform is basically stable with no oscillation, you can then try a series of small capacitors across the load terminals.
The steps in the picture below are with 0uF, .01uF, .015uF, .018uF, .021uF, and .031uF:
You will quickly find a clear demonstration here that not all capacitors are equal. Two different capacitors of equal value can be used, one may cause oscillation and the other not- revealing the ESR and high frequency quality of the cap. Film caps are generally better than ceramic, mica generally better than film, but use whatever you have and play with it. Dave Gillespie does this margin analysis on every amplifier that he builds, and indicates the results on this schematic. From his work, he and I do not consider the amplifier to be acceptably stable until you can tolerate from 0.02uF to 0.03uF across the load. The amplifier above is considered stable to 0.02uF.
How difficult this stability is to achieve, is highly variable depending upon the particulars of the design, wire dress, and quality of the output transformer. Frequently, when using real Dynaco Z-565 transformers (that these are supposed to be a reasonable clone of) Dave is able to achieve "absolute stability", meaning any reasonable amount of capacitance across the load causes no oscillation. We'll see how these actually do.
Once you have a feel for what margin this amplifier has, if any, that will determine next steps, and as Dave has indicated, that is as much art as it is a science. The final stability tuning solution will ultimately trade off bandwidth versus distortion, and will represent a compromise that fits your individual preference. Let us know how this goes, and we can suggest solutions as needed.