The easiest way to get from Denver International Airport to Copper Mountain . . . let one of the shuttle services take you directly to the Copper Mountain front desk check-in and then to Evergreen West at the West Lake Lodge. Safe and reliable . . . leave the driving to one of these fine shuttle companies:
Check out their website for up-to-date rates and to make on-line reservations. You can expect somewhere around $60 for a one way trip. This is the same company as Resort Express.
Another option . . . check it out, especially if traveling in a group. The rates are competitive to CME above.