Hard telling what the best approach is for you personally. If it were me, I'd get a bright light on it and a magnifier and do a close inspection of the copper traces and all the components. Go for it 10 or 15 minutes at a time. At least covering the area around the burnt thermistador (I'm now into changing "or" or "er" suffixes into "ador" just sounds badassed), and the area of the power supply and the traces from the supply. It's time consuming, and you can't see everything, much less failures that don't display themselves visually. I there are some tanned spots on the board that don't seem to be on a visible copper trace, it might have a multi-layer board with power and/or ground internal. Something like that can be jumpered around. Semiconductadors might have cracks or sometimes discoloration... hard to spot since most are black. Then I'd do my best guess replacements, jumpers around burnt traces, etc., and power it up COVER ON with at least a few screws in and tightened. If fail, go to the TV shop...
If it's like the Philippines, they may or may not be great bench techs, but they have what most of us don't, time and ultimate perseverance. They actually fix cell phones there. Working without a schematic and knowledge of the type of circuit is a bit like a backyard mechanic rebuilding your engine... drunk. But if it's all you got...
I hope you get it to go. Just be very careful, powered on or not. I've revived a few things shooting in the dark, some lasted, some didn't.