In my opinion if your flying and not willing to buy an EPIC pass your better off(from a $$$+Time perspective) just flying into Salt Lake, using the free LCC\BCC\Park City Bus\Shuttle system and staying in a cheap hotel down in the valley.
If you're flying and paying by the day, the most bang for your buck is going to be SLC. Inexpensive lodging can be found close to the Cottonwood Canyons on the free bus route. Lift ticket deals are easy to find at the local shops. Flights are reasonable.