Cottontails have roughly a 10 year cycle, snowshoes about 13. It can vary a couple years either way, depending on weather, predators, forage, how hard they crash, and maybe some other factors.
So wait a couple, protect your orchard and ornamental trees meanwhile, shoot the crap out of them, and you will be fine.
I always found interesting that a couple Canadian studies have shown that the number one predator on snowshoe hare babies under the age of 2 weeks is the little red pine squirrel.
One difference, (there are several) between hares and rabbits, is that rabbits keep their babies all in one nest, at first, while snowshoes stash their several babies singly in different locations. Dunno about Jacks. Those are hares also, right?