When I lived in Kansas, I'd bird hunting up at Glen Elder WMA in N. Central Ks. I have never seen so many rabbits in all my life!!! They were every where and in between pointing the birds, the dogs would point rabbits. It was frustrating when the dogs pointed them, but I used it to scold them when they did and finally they left most of them alone.
I would go there if you were wanting to travel a long ways but not as far as Texas. And cmaping would be free or you could stay in one of the small town motels.
Saw alot of big bucks up there as well.