Wow, that's a lotta volts! Try reducing it so you can still see it, peak things, then reduce it some more. I don't know how much alignment you've done, probably more than me, but the things they never mention have to do with coupling into and out of the circuit. RF often needs to go in through a very small series capacitor, a couple pF or less. Sometimes outputs have to be treated the same way, lest the circuit be loaded down by the scope or meter. I've also found that sometimes RF has to be brought in through coax, with only the tiniest bit of the center conductor exposed. Otherwise, the poor shielding on consumer equipment allows the signal in at multiple locations, confusing the heck out of things. Then there are pads that supposedly either imitate the antenna or match the generator impedance to the input. Maybe those are the same thing, but they rarely give you the circuit. I guarantee the test bench at the factory and the procedure they used in production won't match the equipment at hand or necessarily be the best procedure for us to use.
The way TP 5J is drawn, it looks to be capacitively coupled to the transformer leg. If it weren't, it would have 14 V on it! It might be an actual cap or it might be proximity or it might be "gimmick" style, a wire with a turn or two around something else. That's why you can use a larger signal. I'd think tuning L505 would be straightforward and a good test case for knowing your setup is reasonable. I'm assuming a X10 probe on the scope, not X1!