Prostitution is illegal in most municipalities, and most resorts that market themselves (or their surroundings) as tourist destinations have a vested interest in eliminating as much crime as possible.
There are exceptions with some types of crime that certain spring break'ish cities will overlook.... but ski resorts make a lot of money off of families, so the businesses (and hence the chamber of commerce, hence the mayor, hence the police force) take active steps to keep their towns free from that kind of criminal element.
I'm not saying that it doesn't happen, but if you were looking for that kind of thing in close to a ski resort then it would probably be via an escort service (where it isn't visible) or around the seedier neighboring towns/areas where the truck stops are, etc.
Just fucking stop talking like you know anything about resort towns you live in the south and fly places on vacation. You don't know shit because you've never lived in one nor have you been in one long enough to know what towns do and don't do. You're a fucking tourist just like 98% of the people on here just because you googled something doesn't mean you know fuck all about it. I could google quantum mechanics doesn't mean I know shit about it. For the love of god just stop trying so fucking hard to act like you're a god damn mountain man you're not and if you were one you wouldn't give a flying fuck that you were.
Resort town prostitution is HUGE and I mean fucking HUGE. Vail has whore houses, Aspen has multiple escort services, Breck even has Russian hookers that work at the Brown. 25 bucks for a rub n' tug in the bushes. It's prevalent if you live in the area and know what you're looking at.
I've seen hookers, prostitutes, professionals, cheap sleezy skanks, etc. etc. from Tahoe to Washington, to CO, and it's all the same. Some have fronts like "massage parlors" others are escorts, some just work the bar scene looking for guys that want a fun time. You typically see them more around peak seasons i.e. X mas, New Years, Spring Break. The town knows they're there but if it comes down to a bunch of drunken horny guys with no women or a bunch of drunken horny guys fucking cheap tricks they're going to choose the second option because in the long run the disorderly conducts, disturbing the peace, and all that bullshit will be less.