Flight
The Denver Airport (DEN) is probably going to be the easiest airport to fly in to. From here you can rent a car or take a shuttle up the mountain.
Flight
The Colorado Springs Airport (COS) is another option for flights, but is further away and may require further travel steps to get up to Silverthorne.
Hotel
Here is a list of hotels and Airbnb-esque places that have given us discounted rates. Each place also tells you how far away from the venue they are.
Rental Car
Here is a list of shuttles that will pick up from the Denver Airport and make trips up the mountain. **Some don't go all the way into the mountains, so be sure to double check with them when booking! Prices can vary between providers, but the most common price I see is about 120 per person round-trip(Some will take you up the mountain, and then bring you back to the airport at a later date for 1 round-trip fee).