Andy,
In the hv section, see if the .01mfd condensers are ceramic or tubular. If the latter, replace with film or ceramic types. You can increase the capacitance if you want to say .015mfd. The 56,000 ohm resistor to the screen and plate should be 5W. The decoupling condenser and the .001mfd across the primary could be bad. See if the valves are good. The resistors in the high voltage are likely out of tolerance. That will cause the voltages to be off. In these sections of these types, I used 1% 2W types. I also replaced carbons in mine with 1% types with a few of 5% in areas where I had them and the tolerance is fine. There are a number of resistors in these series that are too small in wattage and will show overheating. Check the pots in the horiz. sections. The pots could be bad/dirty. The .01mfd condensers in the power supply are known to become leaky. Orange Drops are a good type to use as replacements. Clean the high voltage section. The black dirt that gets there is a leakage path. This includes the crt. I have seen the crt black on the funnel. This was slick. Cleaning helped.
Mark