Other recommendations:

The Montage, Deer Valley, The St. Regis, Stein Eriksen Lodge, The Pendry, DoubleTree by Hilton Hotel Park City - The Yarrow, Sheraton Park City

AirBnb and VRBO are also great options. Around Main Street and in the Lower Deer Valley neighborhood are great locations with close proximity. Use this link to see AirBnbs walking distance to Main Street.