If 1911 (for range because of rear sight), the SA RO is the first one I would consider. Shot one a few times. Good pistol.
IMO, 1911 in 22LR conversion has such a different feel compared to centerfire 1911 (9mm or 45) that I would rather have a centerfire 1911 + a dedicated 22LR like a Ruger 22/45 or MKIII.
Have you considered a 9mm 1911 + a dedicated 22LR?
STI Spartan 9mm + Ruger 22LR would still be close to your budget. Other choices in 1911 9mm are more expensive up front but ammo cost savings will easily cover it. Less recoil, too than 45.