There are a couple of ways that you can get here without a car. Amtrak is a little bit more limited than Greyhound is but is worth a shot. If you are trying to find a ride or trying to share the ride cost, post a message on the Message board.
Most ski areas have excellent bus systems.
One of the things you can do is get on the ski resort area websites and see what they have for transportation. I would contact the area Chamber of Commerce and see if they have any suggestions. Most hotels will contact them to give out special rates for people moving to the area. You will have to ask your local Department of Transportation for this type of information. I know for example that the State of Colorado requires a new ID it but only depending on which department you ask.