So, you should be able to run it with only two 6L6, but those 6L6 have to be on opposite sides of the PI. The best way to guarantee this is to install the 6L6 in the outermost sockets. Eg; 1, x, x, 4. Either way you count.
You say the ecaps appear original. This is a circa 1975 amp, so you do the math.
To clarify, you have (only) the bare chassis? eg; no reverb can?
If even without any output tubes plugged in your lamp limiter did not glow bright, then maybe those caps have some life left. But probably not much.
Are you skilled and equipped with a meter and able to troubleshoot beyond flipping tubes?
IF you have a meter, strongly reco you measure bias to the output tubes...should be in the area of negative 50 volts on pin 5, all of them.
If you DON'T have a meter............................................Stop!
The compactrons are potentially irritating to replace because of their cost.
In general I would seriously doubt you have a transformer problem, but the primary (6L6 side) can be tested for continuity.
There are two pairs of 6L6. Most likely (regardless of how you count, left to right) you'll have almost no resistance between pin 3 of 6L6 #1 and 6L6 #2......and zero resistance 6L6 #3 and 6L6 #4. Between 6L6 #2 and 6L6 #3 you're likely to find 250-300 ohms.
There is NO GREAT COMPULSION to make this continuity measurement but if you decide to do so, MAKE SURE the amp has been turned off for a minute or two before you do so. You DO have the fabled balancing resistors which also act as bleeders, assuming they are good and not blown nor burnt open, but they will take 1 minute+ to discharge the power supply ecaps. After that minute goes by, measure DC volts on the plates before you measure ohms. The closer to zero, the better.