Now you can come here instead of Park City:
"Few people think of snow and skiing when they think of Tucson. Cactus and desert more readily come to mind. The Santa Catalina Ranger District, however, is home to a ski area that is the southernmost ski resort in the continental United States. In spite of its extreme southern location, Mt. Lemmon Ski Valley is usually open from mid-December to early April.
This ski area is located in the Santa Catalina mountains, just an hour drive from the resorts of Tucson, making it possible to go skiing here and golfing or swimming in the desert on the same day."
http://www.fs.fed.us/r3/coronado/scrd_old/rec/skiing/ski2.htm
From your weather report, you might want to come here instead.....but then your snow is due to arrive here in the next day or so.