I'm an Elk member. I went on an RV trip up California and Oregon coast and stayed at 8 Elks lodges in my motorhome. I think every one of them could accommodate your 5er. The different lodges have a wide range of facilities, from dry camping, to electric, to electric/water with or without dump station, to full hookups. Most of the lodges I stayed at had the RV spaces somewhere on their property, sometimes just at the end of the general car parking lot, some in the back or side of the building, some on asphalt, some on gravel. The Sedona, AZ Elks (where I live) have an adjacent section of property, separate from the main parking lot, with several sites for any size rig. Two Elks lodges I stayed at actually had separate RV parks about five miles away from the lodge.
Don't expect beautiful scenic spots though (except maybe for those separate RV parks), since most RV sites are just on the property with the lodge.
It's a nice amenity for reasonable "donation" amounts (determined by each lodge).