Midwest or back east, you're too late for anything out here. I haven't done any hunting out there, but have family and friends in IL and VA that want me to come out and hunt OTC deer. I think my brother said his license has 6 deer tags a year with it, three doe and three any deer. He can buy additional doe tags to hunt his private property, unlimited.
If you weren't picky, my guess is you could hunt several does a year on reasonable tags. Where I hunt out of state, nobody shoots does and other hunters are almost always willing to tell me where they saw does.