I am moving to Jax as well in 2 weeks.
I am in the market for a RV6/7, maybe a project.
I have visited Haller Airpark. The current rule is you can't put a plane in a hangar unless you own property there. There may be ways to get around the rule but I don't have knowledge on how to do it.
If you would like to split a hangar somewhere let me know.