Would like a tiny PC / Raspberry Pi type of thing to run Rocksmith. Any suggestions or experience?

I’ve just started playing bass last month since the lockdown. I’ve exclusively been an Xbox gamer for that last 15-20 years but after researching the benefits of Rocksmith on PC, i bought the PC version. (Mainly so I can get custom DLC).

Currently I have Rocksmith running on my old Microsoft Surface Pro 4. It’s about 4 years old with Intel Core i7, 16GB RAM and 256 SSD. It has built-in Intel Iris graphics. It’s connected via HDMI to my LG OLED and I do have a bit of lag between the audio and video, I assume that its due to audio going over HDMI, from what I’ve read here. It seems to run “ok” but I can hear the fan screaming the whole time. :)

Anyway, i don’t want keep using this Surface, for a couple reasons. 1) the battery is swelling and it’s probably not going to live much longer and 2) I want something tiny that I can put into my TV stand with the Xbox, something that won’t look like a desktop PC.

Is a current gen Raspberry PI capable of running Rocksmith without lag? If not, what would you recommend as far as something cheap/used that I could get that would handle it? Like what generation of a core i5 or i7 can I get away with? Is it critical to have something with a separate GPU card? Are any of the CPU-based graphics processors capable of running it smoothly?

I don’t want to spend hundreds of dollars on something that is ONLY going to be used to play Rocksmith.

Thanks!