In the Denver area Summit County Fire is the EMS provider.
I am a pro patroller at a mountain in Lake Tahoe. Depending on the resort they may have an ALS division with EMT-P patrollers being able to push drugs, either way your scope will be limited. Not all resorts have this though, many are only BLS. Its a different animal being on the hill in the weather providing care, but it is a lot of fun, I love my job.
As for the skiing, you really do have to be an excellent skier. Think about it, you have to be able to ski any run on the mountain, safely, whilst driving a toboggan with a patient who could weigh more than twice your weight, I'd definitely get a few ride days in before you do your ski test.
Another thing to look into would be NSP. They are a national organization of Volunteer Patrollers. Many times it helps a lot to have the volly experience before you get a pro position, but it is possible to score a pro job straight outta the gates.. Not as glamorous of a way to go about it but a good way to get your foot in the door. A lot of people are surprised that most patrollers are in fact, volunteers. There's a couple other patrollers on here that I'm sure will chime in.