I wouldn't pretend to know anything about that radio, and the problem could be anywhere given the complexities.
But if nobody will touch it, it's worth a shot to just take it apart and poke around using low tech methods that many times will work.
The links posted by Josh point out failure of capacitors do occur on these units. It states that failed ones will be discolored so they will be visual. Dried out or shorted caps are a common problem in vintage units , so common it's a great place to start. The power supply will have larger ones although they will be throughout the sections.
They are very low cost and not all that hard to switch out.
Another thing to keep in mind is MOst Likely, only one small and low cost component has failed . Ok laugh, but just keep telling yourself this .
If you can get the boards powered outside the case, a very effective method is to tap around with something non conductive. This will flush out poor connections if you have audio at all. If you have a multimeter you can test caps in situ with no power,but look for open or short the values may not not read correctly in a circuit. Be careful, they store up, if they discharge into your body, cross them off the schem as good.
Just a visual can go a long way, I don't know your skill level but any surgery after that is advanced , not hard but it's easy to mess things up. If you do choose to take it apart, get somewhere you won't be interrupted. Prolly my best advice.
Good luck, if you determine its too much, put it up for sale . There are people out there that can repair it, or as Red hat said, a pick n pull for their same model if it's cheap enough.