Excessive voltage drop under normal load is almost always an open cap or diode in the HV supply. If more than 50% of the voltage is lost under load, it's probably an open cap. I recently had the same problem in an NCL-2000 that one of the caps opened up in. I hadn't even considered this as the problem because 99% of the time this makes the cap short due to the larger voltage drop and take out the HV fuse. To my surprise this was one of the rare times the cap actually showed a virtual open connection and would not support any current. The diodes would be the next thing to check.
The Drake sounds like something may have been damaged in the output section from excessive power. See what the plate current is when it's making 400 watts. Low output and larger than normal voltage drop usually means high current is being drawn as a result of mistuning the tank. That could be the result of a part failing in this area like the plate blocking cap. It's also possible the bias has shorted and loaded the supply way down with idling current. The larger power transformer will bring out the next weak link in the chain.
I was thinking the same thing. I would suggest that if you find a bad cap that you rebuild the voltage doubler with caps of roughly double the mf value. This will help stablize the amplifiers voltage drop while under load.
Just be very carefull to make sure those caps are discharged before working on it.