Snowbird was the least favourite of our mountains in Utah, I would definitely do a day at Solitude and Brighton at least. Bus goes through there in the morning you will be able to jump on or hitch a ride, both are close by.
Brighton definitely if you like some park action and/or tree runs, snowbird was a joke for a park and pretty wide open.
Saying that, Snowbird looked like it would be the pick after some fresh pow, if your into off trail and rugged riding, but on average snow there is a lot of side mountain riding and traverses on the groomed runs which get boring pretty quick. the back side doesn't offer much in terms of runs, but does get sun in the morning.
Not to put a dampner on your holiday, you should have heaps of fun, but if you can change, personally I would stay at Canyons or Park city and you could access both of those, which both have killer parks, and fun long runs (Canyons on a pow day). They are the pick of Utah I think. Also you will have access to shops, bars and dining their. Snowbird is pretty isolated.