If it blows the fuse while on Standby, there are only a few things that it could be.
Power Transformer
Wiring in the Power Supply
Filter Caps
Rectifier circuit (4 diodes)
Filament wiring
You might want to take it to a tech to get a check up and change the Filter Supply Caps. They are getting old and may be the cause of the intermittent fuse blowing.
It doesn't sound like the problem is extremely bad at this point, but it might suddenly get worse without warning. Sorry, I know it's not what you want to hear, but it's probably due for a good tune up anyway. I would have the guy clean all pots, jacks, sliders, etc. as well as tighten and clean the tube sockets.
You will be pleasantly surprised by the tone when it comes back. Replacing the filter caps will bring back a lot of frequencies that you never realize you are missing until they return.