Last year I was done 11 days in, my earliest. But I still hunted hard afterwards, just had no gun. Still enjoyed the whole season.
For me, turkey season being done means redfish and trout season begins. I do that all the way until fall when early duck starts, then I go to Canada for a duck hunt in late October, but the redfish usually heat up then too. After I get home, it is just a few weeks until duck. Then it ends and the reds and trout are stacked in the rivers. Then Spring turkey is back!
My seasonal calender is not Winter, Spring, Summer, Fall. It is duck, redfish, turkey, redfish, duck.