i lived in summit county all winter and i didn't see a whole lot of reason to get a rockered ski. there were a few days that were really good, but the only time i wished i had a rockered ski was when i went south to wolf creek. you'd be fine with something like the lizzy or bacon. i had bacons and i skied tons of bc and they were great. i mean, ultimately the decision is up to you, but i think you'd be happier with something that wasn't rockered.
also, anthems aren't going to do it for you as an all mountain ski unless you are really timid. i have those also and use them strictly for park. that's why i would steer you more towards something that has a conventional camber such as the baco or lizzy.
Vail warrents rockered skis. This last season was absolutely incredible, from mid Dec. through Feb. there wasn't a day I didn't get at least one run of fresh. As for a recco on rockered skis, never skied 'em so I can't give you any first hand knowledge. I saw Seth skiing the Hellbents a couple times in Vail (name drop!) but he gets paid to ski them. Since I just got knee surgery I am looking to get some rockers to tool around on. I really like the shape of the ARG, some of the Moments, Praxis, and the Pollard rockered ski looks pretty sweet too.
***As for the backcountry, CO is one of the most dangerous areas in NA for avalanches, several people died last year including a friend of one of my partners. The backcountry around Vail is amazing, you will see a lot of people skiing a lot of areas they shouldn't on certain days, doesn't mean you should feel safe. Pick your partners and your lines with your life in mind. Anyway Vail is a pretty fun place, enjoy it!