Hi, Wendy. I, too work for a large health system and am pretty well known. No stealth option. It worked out fine. Better than fine. Talk to your supervisor, key coworkers, and HR. Chances are, they've seen it before. If not, tell them that you can get them templates to use. HRC or NCTE are good places to start, if you need more, let me know. Most medical centers are pretty good places to transition, being more accepting than most.
Namaste, Lunae