Before the law changed to allow straight wall I would say the 220 was THE best option for killing deer. The H&R single shots are right there with it but hard to find now. I don't own either but have shot both.
I'd say a Henry single shot.
However, they are not cheap for what they are. The workmanship seems very nice, but they are still pushing $600 for a break action single shot.
The CVA break action single shot rifles IIRC are listed at around $400 and MSRP a little less. So that could be a good option. It is too bad they don't make a rifled break action shotgun. THAT would be neat.
I've been tempted to get one of them between the price and the fact I've got a CVA Wolf muzzle loader and design is pretty similar, though the break action is slightly different.
Sadly, CVA only threads a couple of their break actions (but at least they thread some! Henry doesn't thread any of theirs that I can see). The 300BO and 450 Bushmaster are both threaded. I wish they made a .357 threaded. Either Henry or CVA.