I wanted to just get a suppressed match barrel but understand that swaping one back and forth between guns means go to jail.
suppressors themselves (even in the case of integrally suppressed barrels) are normally registered, not the rifle (unless you're talking about SBR or FA). so you can move a suppressor from one rifle to another legally.
A .22LR upper costs $475 built, and comes with the foreend, threaded barrel, etc. No need to add a 10/22, or anything else.