You could also consider 25-45 Sharps. The only thing you need to do is change out the barrel on something like a PSA AR15 and would keep you under the $800 mark. The ammo is expensive though but it performs REALLY good on coyotes and pigs both. Its flatter shooting than 762x39. Its a .257 (6.5mm) out of a 223 Rem case
My cuz in AR loves his, though he also uses CMMG Mutant 762x39 that I turned him onto
.25 is a .257. 6.5mm is a .264