If you can, I'd avoid the power supply pictured like the plague. I bought 3 some years ago and every single one of them blew. They got very hot, but even with ventilation holes drilled in the case they still blew up. I think that they're just undersized or inefficient for the power (1.5A) they're supposed to provide.
You can get sealed power supplies and they'll usually provide screw holes to attach them to a heat sink.
some low power ones
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higher power one (got the 10W version)
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Used both of those on some garage LED lights, probably had 40-50h or more (hard to keep track) since I built them. Also used a bunch of 12-15V 900mA drivers, but I'd have to do some digging to find a listing.
Not sure what the current draw of those LED rings is, probably less than 10W I'd guess. If you need a power supply >10W I'd suggest going with a larger power supply than you showed. I think those things are just underbuilt for their output.