Under $500 sff build for 4K tv?

[noah]

I currently have a desktop I've used for Dolphin, but I'm moving and ordered a nice 65 inch 4K tv for the living room. I'd like to play Dolphin on that, as well as conveniently have a computer right next to the tv to play my media. My question is, is there a build close to under $500 that is in a small form factor that could play Dolphin in 4K (Wii and GC games) with mostly 100% speed? My main desktop will be at my desk, so my only other options would be a steam link (limited to 1080p though) or a really long hdmi cord (ugly unless I could hide it somehow).

[mbc07]

Well, any AMD Zen+ or newer or Intel Kaby Lake or newer CPU with at least 3 GHz and at least 4 cores, paired with a recent low profile GPU (e.g. GTX 1050 Ti or the newer GTX 1650) should do the job fine and can probably be fitted on a small SFF case without too much trouble...