There are no destination-worthy ski hills in immediate Munich area, but good stuff not far away. Probably Garmisch would be easiest appreciable skiing within daily commuting distance. If you want to stay over at a ski resort and ski several continuous days I would suggest St. Anton
Will you have car or be using trains?
All approximate info:
By train 2 hours: Garmisch and ski Zugspitze, high elev, but less terrain; or Innsbruck - a city which involves commuting to nearby glacier skiing and scattering of other ski areas on outskirts of city
By train 3-4 hours: St. Anton, one of biggest and best single ski destinations in Alps, still mostly in prime condition in early March; or Kitzbuhel, classic ski town, nice, but lower elev slopes, check weather/condition before committing March visit.
Cut approx one hour off above travel times by using car.
See more here on skiing out of Munich and you might get more detailed replies to your question there too:http://forums.epicski.com/showthread.php?t=23854&highlight=munich
Also look up John Sherwood's trip reports on St. Anton and environs here on DCSki.
PS: sounds like you've been doing some challenging stuff in the service of our country and world security. Enjoy your time off.