I don't think a real or faux Pi is a good idea any more unless the size is important. You can buy a minipc for competitive prices now, and get a nice working complete system which doesn't require weird software. If you don't need any graphics performance to speak of then a N150 is pretty beefy for 10W, and plausibly under $200. I chose to have just a little graphics performance and went with a Zen3 MiniPC with 15W TDP, a bit over $300 with 32GB and 1TB. It overclocks and the graphics get kind of OK for 1080p, but it's not worth it given the fan noise. I've also seen some pretty cheap "NAS" minipcs (they just have drive bays and SATA ports, most of these only have M.2 and if you want SATA you need to convert and come up with an enclosure.)
I got what I got because of the low power consumption, the whole thing maxes at only 30W.. and also because my desktop is the same architecture, which is convenient.