Ruger 77/22 in 22LR
Winchester 70 FWT in 30-06
Remington 870 in 12 gauge with a couple of barrels
If necessary, I'd not have any problem doing anything I wanted in the hunting fields with those (given the option of handloading the -06).
However, given the sense that the 3 gun limit is due to some sort of social rationing, my choices would probably be:
Ruger 10/22
AR 15 slow twist 223
Rem 870 12 gauge
