I think a half day of skiing the day you arrive is a good way to acclimatize. Even though I live in the East and ski West only twice a year I don't notice the altitude anymore, except with restless sleeping at night, which I continue to experience, even down in SLC. And, the time change doesn't help. Of course, getting up for the early morning flight, and the cabin pressure on the flight itself adds to body stress.
I would go for it, but take it easy if you are feeling quesy. Make sure you deliberately drink lots of water, on flight and on the way to the resort. This is something I notice many do not do, silly not to.
Also, for the free ticket, you have to fill out a form, which would be easier to have already done, rather than worry about it at the ticket window.
Bring, ID, Form & Boarding Pass.