"Got a request for a hunting club, several hundred acres with a ritzy lodge on it. How do these properties work?"
The one I belong to (not ritzy) is set up as a non-profit corp. with a set number of shares and each member owning one share, annual dues to cover expenses, and a first right to repurchase any shares offered for sale.
It may also be set up like many of the golf course country clubs with equity memberships or equity ownerships.
"How are they valued?"
I suspect a land valuation with depreciated cost approach to the improvements is the best route if no comps are available; and I doubt there are any. Our club has about 1,000 acres worth about $2K/acre and a clubhouse worth about $50K. Basically a land appraisal would work for ours.
There may be one entity that owns the real estate and leases to another that contains the membership. Seperate liability for insurance purposes, etc. Guns and tree/hunting stands make insurance companies nervous. We have NRA for liability insurance and a local agent for the improvements.
"Is this a straightforward assignment or something I'm going to need to send to somebody with special expertise?"
Can't answer this one.