It'll obviously need to be PCP because break-barrel/side-levers obviously aren't going to work well when prone.
Your bigger issue is going to be finding an airgun stock with a T-Rail for the handstop and sling. It may require some custom work - and will be significantly easier to just carry on shooting .22!
Obviously if you were to transition to bench-rest or LWSR, then any sporter or match air rifle will do for practice/non-competitive shooting.
"A fear of weapons is a sign of retarded sexual and emotional maturity." Sigmund Freud
Shooting is my meditation