First off pray that this weird ass weather system\pattern moves out soon and the storms start lining up like normal.
Brighton is smaller\cheap but normally has some of if not THE best snow in Utah and a ton of fun terrain.
Solitude also has great terrain, snow and never crowded, if HoneyComb("In bounds backcountry") Canyon is open it's a MUST GO.
Snowbird is pretty awesome great snow EPIC gnarly terrain(only behind J-Hole\Squaw) but gets crowded and tracked out quick on the weekend also can be expensive and is VERY steep.
Powder Mountain is a must go if your going to be around Ogden where Snowbasin is at, personally my favorite resort in the nation.
I'm not a fan of Park City resorts not as much snow and generally more crowded(crowded and rich people) but Park City is a super cool place to hang out and party.
Good luck and have fun!