According to the farmer's almanac this region of the sierras is supposed to see some pretty steady snow during April, with that being said I wouldn't bet on camping. You'll probably be more miserable than anything. I would say besides the Davidson guest house call up some of the property management companies in town and tell them your situation. I used to work for one and we would rent condo by the week for $200ish - depending on how full the town was.