Is it more important for you to go to USUHS or to be a psychologist in the Navy? If it's the latter, there are multiple paths to that outcome and placing all your bets on one school might not be the best strategy. Though if you have been talking with recruiters for a year I would assume they have gone over this?
As far as talking to faculty ahead of time, its usually a school by school policy so if they've let you know how it works I'd be inclined to follow their advice.