RRhighriderI would try to get in touch with a president of another active club on campus. I helped restart the ski and snowboard club at my college and was on the executive board for 2 years. There are rules and oversight once you become a club. Other people who already run clubs will better understand the culture at your school. Our club got in trouble multiple times our first couple years for dumb social media posts and advertising parties. As the president you can be personally held responsible by the school for club actions.
This. No one can really help with that part unless they know how your school works and all that.
Figure out the set up of your club. Will you just be a group of homies who go skiing together on trips/weekends? Will you offer members a pass? Will you have events? What will make you guys stand out so people want to be a part of your club vs just skiing by themselves?
Spread the word. Start up social media accounts. Put up flyers around campus. Work with your student life/governing body to do things around campus. Link up with other clubs for events to get your name at least familiar on campus.
Trips: You can do them on your own or you can use a travel agency. Travel agencies will help you get a lower price than you could on your own assuming you have a decent amount of people. Our club specifically sends busses(55 people) to the mountains 4 days per week, we do a trip to Vermont every February(45ish people) and send like 50 people out west(Whistler, Park city, Summit county/breck, mammoth, big sky, etc.) every January during winter break.
Events like ski waxing nights, learn to ski programs, and movie premiers are super super easy. Rail jams are super fun but a little harder to organize.
There's probably a ton I can't think of right now but if you have any specific questions, those are always easy to answer haha.