SNES won't power on... chance for recovery?

I would check the cap under the shield and the pico fuse (F1) if the pico fuse is replace with a 1.5 amp Glass Fuse and holder (cheaper method)

make sure no damage to the ac input on the board side. give it a good cleaning make sure no corrosion kicking around on the board either if so clean it up best you can.

Just a note I have seen this happen with blackouts causing damage to the system as well as using incorrect voltage AC Adapeters / 3rd party ones not rated correctly.

I attached pictures to my original post, and it doesn't look like the cap is blown, nor the fuse. I also can't see any visible damage to the area of the board near the AC input, so this is very weird. I'm quite the electronics noob so maybe I missed something obvious, so if you could look over the pics I posted I'd greatly appreciate it. Also, just to answer to those last two points you brought up, there was no blackout while I was testing (also the PSU is plugged into a surge strip), and also I did use an official SNS-002 power supply, so I don't think either of those things would be the culprit. I'm assuming it was just me putting it on the carpet and bridging something that shouldn't have been

I would 100% test that pico fuse and if you need hit up most auto motive stores or electronics shops and get a inline or glass fuse holder, are you able to pull off the top of the ac input there without any difficulty?

Basically anything further one would need it on their bench to test components.  visuals look fine.  If you have a soldering iron around and a multimeter you should be good to go to pull and test the fuse and should be able to test the other caps on the board but I would always discharge first.   But I am leaning towards that fuse.

I'm borrowing a soldering iron this weekend from a friend (for an unrelated reason, just to replace some save batteries in cartridges with battery holders) and I can easily get myself a multimeter, so I'll check the fuse. I did try to test for continuity at least as follows:

1. Shut my custom gaming PC off

2. Attach some GPIO male to female cables to the power button header on the motherboard

3. Touch the male ends of the cables to either side of the fuse

The PC powered on after I touched the cables to the solder points, so I assumed this means it's not blown. Is that not a correct assumption? Is there anything else I should test the fuse for?

Edit: also, for desoldering things, is solder wick necessary if I don't have proper desoldering equipment? Just curious if I can desolder with only a soldering iron.

I would pull it to test it and I would start at the ac input and work my way down the board testing.  From what it sounds like its OK, if that is the case checking the capacitors would be the next step.  All the stuff is pretty cheap so wouldn't cost much to get a cap kit for it and I bet you can find kits for sale for your board model as well.

solder wick not needed in my opinion.

Ok, thanks for your help! I'll be sure to report back with my findings...

Sounds good! Good luck on it. 

Sounds good! Good luck on it.