Dont Do It!
I do not have said degree and managed to move myself ahead a lot faster than any of the probably 20 people I know with that degree.
While they were writing papers and thinking they had an auto in, I was smoozing my ass off working in Marketing.
Think of it this way, the most likely new CFO/CEO is going to come from 1 of 3 places. Either a massive investor in a resort that is public, the Director of Marketing, or the Director of Operations (sometimes there are other people at the very top like Director of sales and so forth, but large resorts usually have a DO).
That being said, a Marketing Degree or a Business Degree are going to move you to the top of those fields faster than your Ski Resort Management degree. A marketing or business degree are also useful for things outside of the ski industry.... should you do something like work as a marketing coordinator for a ski resort for 3 years and see a rad job open for Line... you'd be way better off applying for it with your marketing degree than Ski Resort Management...
But alas, do what feels right.