Absaroka Bay on the SE side of town is where se stayed the last time we were there. Paved sites and roads, FHU and cable. Prices are good and the laundry was excellent. In season the manager might offer you fresh tomatos off the vines. About 10 minutes to the river and 20 to Cody lake and dam.
Good base to visit the Chief Joseph Hiway and the Bear Tooth. Lots of things to see and good places to eat. Drive through the WalMart parking lot after dark and be amazed at the number of RVs parked there overniting.