I don't know what I would do if I could only shoot one deer in my state. Well I guess I would just have to go to my land in WV which I do anyway's.
I love to hunt, so I would do like you plan and find something else to hunt. I hunted in Maryland and we were able to get a total of 32 deer, that is a combination of bow, shotgun and muzzleloader seasons. I have not got on any leases in Maryland in the bast two seasons, I did get invited to one this year but passed.
When I lived in North Dakota we could only get one deer, I don't know if that has changed, I was there over 28 years ago.