@tablejockey , +1. I doubt it is the tube, but it won't hurt to try.
Sounds like it could be a cold solder joint, as temperature seems to have some affect, or a capacitor. It could have been a weak cap to start with, however, two enemies for caps are high temperatures, and dormancy.
Lack of cycling (on/off cycles) and/or high heat can shorten a capacitors lifespan significantly.