The pop may have been caused by a catastrophically failed power semiconductor or an electrolytic capacitor.
The main supply is often on a separate board (these are often outsourced) which will be smaller in size but have larger components on it.
Removing the back panel should let you recognize it fairly easily.
Examine this board carefully with a good light and look for components that appear damaged; this could be a three-lead transistor, a module (both often in black epoxy) or a capacitor any of which will be cylindrical and could be any size ranging upward to 2" in height and ~ 1 1/2" diameter.
If the latter has failed, it may have a burst aluminum top or have spit chemicals onto the board.
Since you have neither sound nor video, I don't think the back light inverter for the display will be a fault. This will be on an even smaller board and traceable to the fluorescent tube.
If you do not find a problem you can identify on the main power supply, check this smaller board for the same kind of visible failure since a failure on the inverter could cause a fuse in the main supply to fail which would disable the entire set.
Good luck-
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