If you're 25 or older, car rentals can be pretty cheap in SLC. 9 chances out of 10, any car can get you to the resort. if they put chain restrictions up, there is a park and ride at the base of the access road...about 10 mins with shuttles running. That being said, you could just stay at the Bird, itself. The resort can give you suggestions for transportation and they have mid-week deals.
Traveling the States and Taking Pictures