I did check into United Rentals, but our local stores don't carry ladders tall enough. They did suggest checking with another local rental company (which Home Depot already told me definitely did not have a 16 ft ladder). I called them anyway, and they did in fact have the 16 footer.
Did having the ladder solve my problem? SHOOT NO!
I got all the way up there to change the code on the receiver and there was no receiver at the ceiling. The receiver is actually built into the fan motor (which I had to partially take apart to find out)! I was so ticked off, it wasn't even funny. My kids hated me that day! :) Now I'm exploring the idea of getting a new remote. The code is changed in the fan motor, but it's still not working...more than likely because I dropped the remote onto the hardwood floors.
Just trying to make a few bucks.