There are many attorneys that can assist you in formally organizing your club as a 501(c)(3) non-profit org.
This answer should not be construed as creating an attorney-client relationship, and is for informational purposes only.
So you should rent the property. It is not clear to me what the question is? Is the owner requiring you set up a corporation? Do you need to get an exemption? If you need to set up an entity you can incorporate and then seek an exemption under 501(c)(7) of the Internal Revenue Code - this is for social clubs and it sounds like you would easily qualify.