I don't want to say your worries are baseless, but you should understand that tube amp electronics are very robust as the voltages and temperatures they operate at normally are brutal and they have to withstand that on top of bone-jarring vibration. Most electronics would die somewhere between instantly and very fast under the conditions you'll find in a tube-based amp every moment of their existence.
Musicians like to think the two tube facories left on the planet are there to serve their needs, but if they were the only ones still using tubes, it wouldn't be for long. The only reason tubes still exist is because the Russians and the Chinese still use them for a lot of their military equipment. Why? Well, partly because they're poor and backwards and their economic model doesn't encourage a lotta innovation, but a lot of it has to do with tube circuitry being able to withstand battlefield conditions.
A tube-based amp is much more likely to die of old age or mechanical abuse than any kind of injury from temperature or powerline issues. They can be banged around too much in moving, dropped down stairs or off vehicles, knocked over or pushed off stages, etc. Or, the transformers will eventually develop shorts between windings that will cause them to overheat and burn, and capacitors will dry up, become conductive, and explode. This will happen to the amp even if you bought it new in 1965 and left it sealed up in the shipping box until this coming weekend. It's just the nature of the beast due to the components involved. The biggest fear most guys who buy old vintage amps have is powering it up for the first time. Not because it may not work - anything can be repaired if you throw enough money at it - but because they may be watching it die moments after they flip the switch.
Not trying to frighten you or anything, just bring you up to speed on the reality of old tube amps. It's kinda like buying a classic car. A '67 Camaro with a 427 under the hood may be worthy of some serious lust and drool, but even if it was garaged new in 1967 and never driven, it would have lots of problems in 2017. If it started at all, it probably wouldn't run more than a couple minutes before a hose, belt, gasket or cable let go.
So, don't worry about it. It is what it is - an old amp. If it hasn't been done already, you'll probably want to change the power supply filter caps and any other electrolytics in the thing, but other than that, keeping it alive is just going to be an ongoing war of attrition until you finally can't get tubes or transformers for it.