If this is an SMPS it should never be really hot. The only things that can cause that are an overload or not enough drive.
If you really can't get a print you have to ear reverse engineering. To kno w the output terminals, now get to know the input terminals.
Figure out if it has a shunt resistor and/or a series resistor, and determi ne where that is coming from. You figure out what kind of drive it needs an d you figure out the device. Then you can work on a replacement.
Termy secret 25. Take about a hundred watt audio amp, hook u a generator an d feed it with like 3KHz. Almost anything will work. But crank it out ad se e if you get the voltages on the other end.
The reason I say to do this live test, even if it is a bit of a bitch to do it is because if it is not bipolar drive problems are rare.
Before SMPSes came into vogue I used to use a variac. Just feed ANY winding of that transformer and see what happens. I think you are going to find so mething shorted. HA, if you got a good enough amp you can make the smoke co me out and find the bad part quick.
I made a good life out of fixing what others could not. Now you don't have to buy a function generator, if you got a smartphone there is a app for tha t. You get a plug, plug it into a stereo with respectable power, and you go t yourself a dandy piece of test equipment there.
if you need a 100 WPC amp I can sell you one for fifty bucks, but what it c osts to ship might be out of this world. You got Craigslist where you are ? Deal locally in cash. Best way. Paranoid ? Get a gun.
Actually for the best bang for the buck get a Crow. Audiophiles don't seem to like them so they are not that expensive and you ru them into a short ci rcuit they do not fry. They might trip a circuit breaker at your electric p anel but they will be fine.
I have more advanced methods, but no time to type them out Just try that. T HEN we talk about the transistors, I will need to know just how they are dr iven and you will have to run it and have it at east try to start to see wh at it puts on those gates or bases or whatever they have. That will tell us . Then we got it. All we have to do is accommodate it...