First, why risk getting stuck? Get an AWD. It'll already have the red-dot M+S tires that Cal Trans looks for, and if you've never driven across the road from Reno to North Lake Tahoe, you'll be thankful for the peace of mind. Some freaky-ass roads out there!
Second, I recommend Homewood. Mt. Rose and Alpine are both great, but if you've never been to Tahoe, Homewood will blow your mind. Yeah, it relatively small, but it's got lots of glades and steep stuff (in fact, there are only two green trails on the whole mountain), a big steep 55 degree bowl (unfortunately you have to make a short hike to get to it) and it's quiet and one of the most beautiful places at Tahoe. You'll be stopping every five minutes to take pictures. If you don't care about that kind of stuff, Alpine Meadows is between Homewood and Squaw and has lots of wide-opeen terrain and big steeps. Parking sucks, though. Another reason I like Homewood...it's like pulling into a 7-11 parking lot and you can park right next to the lifts at either the north or south lots.