That's somewhat high of a plate resistor value for a 6SN7. And 0.8ma is a bit low plate current, for good performance.
However- I am having problems duplicating your results. I use the Triode/Pentode Loadline Simulator (
https://www.trioda.com/tools/triode.html ) as a pretty reliable simulation tool- it seems to give good results that agree with what I see when I hook up the circuit at the same values. The sim says that with 290v B+, a 220K plate resistor, and a 1200 ohm cathode resistor, you will only wind up with 40v on the plate, with 1.14ma of plate current. To get 0.8ma, you have to go up to a 6.8K or so cathode resistor- which gives only about a gain of 11.2. And, the distortion isn't bad, but it isn't awesome either- with 1v of input, it's about 1% distortion.
Now- if you want to make the distortion lower- and 50v on the plate is enough- then changing the cathode resistor to a 2K, will half the distortion (about 0.5% with 1v input). Gain is about 16.5- not bad, either. But, unfortunately- it probably won't have enough drive voltage on the output of the tube, with only 50v on the plate at idle, to run 6L6s well.
If you can stand a little less gain from the 6SN7- it's possible to make the distortion WAY lower, than even that. A 47K plate resistor and a 560 ohm cathode resistor, will give a gain of about 14- but with only 0.2% or so distortion, and about 110v on the plate at idle. That should drive things much better. Dissipation is only about 0.5 watt- which is completely good for one of these tubes, too...
I've driven 6SN7s and 6CG7s at similar alignments, with good results, in practice. it's possible to get even lower total distortion than 0.2 percent- but at that point, it's at the expense of increasing higher-order distortion (third harmonic and higher) compared to second harmonic. I tend to want the distortion to go down in a monotonic fashion as the harmonic number increases (third harmonic less than second, fourth less than third, etc)- that seems to give the most "musical" and "natural-sounding" results, IME.
Regards,
Gordon.