Maybe you should start a patreon! You keep giving me money saving advice! :)
Yeah, I agree, my first choice would just be a direction recessed led light aimed at the painting, but this is a large painting (5 ft wide) and is going on the back of our fireplace in the foyer, which is 2 stories (so no where to mount a ceiling light aimed at it). Plus, we've already bought the LED light a couple of years ago, just never installed it. But the light alone was around $400 as I recall.
I like your idea of just putting in a recessed plug and cycling through a few power supplies that are easily returnable on amazon to find the one that works. Something like this?