Can you do $360?

Beelink SEi12 w/ the 1235u

https://smile.amazon.com/Beelink-SEi12-i5-1235U-Household-Computer/dp/B0BJZJXC3M/

SER5 for $310 next closest:

https://smile.amazon.com/Beelink-SER5-5560U-500GB-Computer/dp/B0B3WYVB2D

You can go cheaper, but it means going a lot older. I mean you can find i5-8500t machines from 5 years ago for around $100-$150.

Don't go older than intel 8th gen though: Windows 11 won't be supported and you'd have less cores and less hardware decode support.

For what it's worth, this company has a multiple listings of the same machines. The prices are pretty much the same all the time but they bounce around between their mini-shops. If you miss out on the sale now you can catch it pretty much any time you want by searching for the particular model you're hunting for on DuckDuckGo/Google etc.

Snagged a 5560U a few weeks ago. Using it for emulation & Jellyfin.

Searched my model up and what do you know, it's cheaper on their other page:
https://www.amazon.com/Beelink-SER5-5560U-500GB-Computer/dp/B0B3WYVB2D

Another page from them, same model and also cheaper w/ the $50 click coupon:
https://www.amazon.com/Beelink-SER5-5560U-Computer-Support/dp/B0B2JX2QY7

Same probably goes for these other models.