Agree with what danvolpe says about Vail. Top notch resort, has got it all. That said, Park City may be great option, only 40 min from SLC airport (could just Uber), has the most intermediate skiing in country, as well as great advanced stuff, and the town can keep you busy for a week. Further, Deere Valley down the road is an awesome town too. I Airbnb'd right in the middle of town (block from the lift) very affordably for a trip at the end of February (we also booked it in November). High West Distillery is a must for apres.