Are you sure you would want a psychiatrist rather than a psychologist? Personally I would feel very uncomfortable having someone under my employer prescribing me psych meds. Also, while it might work well for sports teams, in knowledge work the majority of what I'd need untangled by the psychologist would be work-related, and a full time psychologist/psychiatrist would have a conflict of interest since he/she's being paid by the company. I would not be able to open up to them on that subject.