Replying to Need Advice: Ski boots for backcountry/park??

I need to get new boots this season and could use some suggestions of good boots to look into. I ski park about 40% of the time, all mountain 30% and backcountry 30%. I'm looking for a boot that will do good in the park and one that I can go skinning in also. And by skinning I mean actually hiking a few miles a day at times, not just sidecountry. I was wondering if maybe a walk mode would help with that? I have a fairly narrow foot and around $600 to spend. Advice?