If you are headed to Arizona in June (not mentioned in the OP), you need to be above 6,000' or it is going to be HOT! Up in the mountains it is not a problem but June is the hottest driest month as the Monsoon usually does not arrive until July first.
We parked our trailer in a storage yard in Lakeside at 6,800' last summer (for $25 a month), and just commuted up there every other week for 4 or 5 days. We never needed the AC and had a great summer hitting a different CG each trip. Big Lake is another good call as they can handle the large rigs, have hook ups and are at 9,200'. :C