I have been using airgun for hunting turkeys ever since I was in my twenties. So I am confident using with it and even have fun on it as well.

I am also concerned about this issue

Airguns are only legal for squirrel hunting in Delaware, and only in the rural southern 3/4 of the state that also allows rimfire for squirrels.

Check out my trapping channel. Everything from trapping coyotes to trapping beaver!
Enjoy
https://www.youtube.com/channel/UCBY...J_6D7yw/videos

Alabama allows the use of large bore air rifles for deer. There is a video where they were using a .357 rogue to hunt management deer in Alabama.

This might be a useful find for you:

http://www.crosman.com/pdf/HuntingRegsChart.pdf