What are my chances at Bowdoin and Harvard?

What is your budget? Are you and your parents fine with being full pay or are you fine with the results of the Net Price Calculator?

I think that both are worth an application, but both are reaches. You need to make sure that you have two safeties on your list. UVM might be a very good university that would be a lot closer to a safety and also closer to ski hills. However, getting there from Utah would be a bit awkward since it is not all that close to either Boston or Montreal airports.