Pi4 might be overkill for it if you're trying to save a couple bucks. You can probably get away with a Raspberry Pi 3B+ which is a bit cheaper and just SSH into it. I haven't tested 12+ sticks on mine yet but i think it should handle it no problem. I have a Pi 3B+ Model A that i'll try out and report back on.ting like 3.5-3.9 TH/s off 12 Compac F's.
When the R606's came out I tried the Pi 3b and had terrible performance with it. I moved up to the Pi 4 and that works great.
Just my $0.02 worth.