theres no reason to remove jack rabbits.
no offense, and thankyou for your service to our country. but stuff like this is the reason folks don't get leases. though I'm sure your intentions are honest...what you're offering is to come out and shoot a bunch of animals for no reason.
You have never been to West Texas then...
Our area used to be heavy in sheep and goats. Predator control was paramount and they did a dang good job. Ranch Foreman on our place (10k acres) lived there 23 years before he shot his first coyote. Bobcats made the come back before the coyotes and there have always been some fox out there.
There was a time that we would kill over 300 jackrabbits a night. Feeder would go off and 15 rabbits would come charging in, sounded like a stampede
Mother Nature has a way of taking care of balancing things out with disease, drought, etc. But there are places that have a rabbit problem.
To the OP, good luck. Hope you find something. Chances of someone letting you on their land for free and with free run of the place shooting and spotlighting is going to be a long shot, but I wish you luck