Well, popping at warmup implies a failed connection, be it a solder joint or a failing socket. As the socket warmups up, from the tube's filament, the metal parts expand slightly and the connection gets more solid. Cheap tubes from ebay might be noisy ("shhhhh" sounding) but tube popping is less likely their fault. The solder connection, and even socket replacement, is a very easy fix. There is mention of this issue with the RM9 throughout the MR circle. Next time it's popping at warmup, go over to the amp and tap the top of the input tubes with your finger. Where your failed connection is will likely become obvious then.
Yes, you can use KT88s in this amp. I think you can safely run any of the following: 6L6, 6CA7, EL34, KT66, KT77, 6550, KT88 and I believe you can run KT90 in it as well. Check with Roger about the KT120. Not sure about that one.
"Critical" is kind of a funny word to use here. All the tubes in the amp are critical to its functioning. I personally have found that rolling the inputs and drivers has a very subtle effect on the sound whereas power tube rolling has a drastic effect. Another reason to buy good 6922s from Roger, install them and leave them put. You can roll power tubes to your heart's content with no worry of the same problem happening (of course, you can wear out the tube sockets but that takes a LOT of rolling).