It varies considerably depending on whether you go to a private or public school, how far it is from home, and the financial aid that you receive. For many people, this can be the deciding factor on where they choose to go to school. Public universities have in and out state tuition, but some schools will give students in-state tuition after the first school year if they stay in the state over the summer break the first year. This varies a lot from school to school, so it's worth checking out. All colleges offer financial aid in the form of scholarships, grants, and loans.
Some schools offer skiing scholarships, but there is very little money available out there.
There is a lot more academic scholarship money available than skiing scholarships. A good portion of the available skiing scholarship money goes to skiers from Scandinavia. The majority of the remaining skiing scholarship money given out is done so mostly based on junior and senior year results at such events as World Junior Tryouts, Junior Nationals, Spring Series. The universities within each region compete against each other, and athletes qualify individually for the NCAA National Championships based on their performance within their region. Each region also has different limits on how many skiers they can send to the NCAA championships.