So -- Pastor Dave -- what in your garage hideaway can be suspended? Couple of ropes and a pully will lift that hay wagon, or put blocks under pallets of hay and wagon there. Just saying, think vertical. Add a "hay loft" over the cages? Yeah, not your own building BUT, can easily be removed. Perhaps enough room to more easily access the grill.
I like cooking extra for later. Saves gas/charcoal, time in cooking now and later Sweet!