With a SS amp, I wouldn't be as worried, especially if the amp has been sitting for a bit. The dangerous bits are pretty self-explanatory, they are the larger capacitors that you see. Provided YOU don't touch anything with both hands that are in the circuit, it is actually really hard to get shocked. If you really want to discharge the amp, it's pretty easy. Either using a cable or a pair of scissors, just make a contact between both sides of the capacitor, if they are vertically ( radially ) mounted, you will need to find a trace that leads from the + side of the capacitor and connect that to ground. Just repeat that a few times for each capacitor. Most amps have a safety bleed resistor though. It is just a resistor in the power supply section that allows the voltage to bleed to ground.
That being said, I highly doubt that you would be able to find the problem, let alone fix it if you are already that fearful and uneducated about amplifier repair. Generally, if something works partially, it means that the parts in the circuit have not failed completely, which means that it won't be obvious what is actually wrong.
Storytime: I had a Peavey Ultra 120 that was not switching channels properly. I did what I could and traced it down to the relay switch. Replaced the switch and it worked, sorta, when it wanted to. Then by total accident, I moved the midi connector ( for channel switching ) and saw that one of the leads was broken. As soon as I bridged that break in the connector the amp switched like a dream. The point is that even a somewhat experienced amp repairman ( at the time ), I couldn't 100% assess what the exact problem was. It was by a stroke of luck that the actual problem was exposed.
If you are no comfortable or confident about playing inside the amp, you probably shouldn't be. That saying " whether you think you can, or you think you can't, you're right " is very true here. If you already have doubts, there is a reason. It is not likely that you will hurt yourself, but you can. And the fact that you can, is reason enough to leave well enough alone. If you seemed a little more confident or had more electrical knowledge I would say go for it, but in this case, I would say the $85 bench charge and perhaps $5 in parts and two hours in labor to fix it is probably a safe bet. If it costs you more than $250 to fix it, I would be surprised, it may be less? If that is not worth it to you, or you can't swing that kind of cash, then I don't know what to say?