again check to see what legal rules on what calibers can and cannot be used first
next, many turkeys will still come to calling , both spring and fall
in the fall one of the more productive ways to hunt turkeys IMO< is, find a flock and bust it up, then try calling one into you
in many states rifles are allowed to be used for fall turkey hunting, so a 22 MAYBE legal, pending what state, but you have to check before doing so
if not, basic shotgun rounds made for turkeys work very well, as do many other rifle calibers larger than a 22 rim fire!
another way to hunt turkeys in the fall is just like in the spring time, roost them the night before and set up and call them in off the roost
other wise, its about finding active food sources they prefer and setting up, calling, or still hunting near the food sources!