What's the minimum legal cartridge requirements where you intend to hunt?
The minimum caliber for deer and hogs in Cal. is 6mm/243.
Are you sure about that? Has it changed? I believe that in 2017 any centerfire cartridge with expanding lead free bullets was legal.
I've taken deer with a 204 Ruger at a bit over 250 yards, with a 222 Remington and a couple with a 22-250 Remington. One with the 22-250 was at around 360 yards; the furthest shot I've used to bag a deer. Those are all very light recoiling cartridges and of them the 22-250 would be my pick.
I wouldn't hesitate to use a 7.62x39 or a 243 Winchester but I'd still prefer the 22-250 over them.