The US Army MWR program has a resort at Garmisch in Bavaria. The info on the website indicates there is eligibility for some NATO forces. You miight want to check the website and get the information and call them as to what they require. The Army MWR info on the place is at Eidelweiss Resort
I don't know if this helps but I hope it does. (Nice looking place)
After my earlier post I had another thought. About 8 years ago when I was married and the son was younger we had to decide between skiing vacation (son) and trip to Italy (wife). We decided to combine the trips and go to Italy and get my son some skiing in Italy. For the skiing part we went to Cervinia in Italy. By US standards the lift tickets and ski rental were extremely reasonable. My son loved the skiing and wife and I relaxed.
Cervina is named for Monte Cervino, the Materhorn in Italian. You can take the lift up to the top, ski down to Zermatt then take the Swiss lift up and ski back to Cervinia. IIRC, the same lift ticket works on both sides of the Materhorn. Lodging in the town was reasonable, food was excellent, local wine very good. All of us could speak some French so that helped. The locals all seem to speak both French and Italian. It probably cost us about half or less what a vacation would have cost in a US resort. There is a big house about halfway up the mountain that I was told was once a vacation home for the royal family. Apparently it is maintained by the Italian government and the royal family is trying to get it back. They can visit Italy now due to a court order, who knows, they might win.
Note: You need to carry passport while skiing as sonetimes there is passport control at the top of the lift.
Edited to add: I called my son. The name of the hotel we stayed at was Hotel Chalet Valdotain
I have tried many different ski companies over the years and those that Claim to offer family discounts invariably come with a catch. The "Discount" will only apply to Full paying adults for example. The bottom line is you get what you pay for. I can recommend Ski Esprit for the best childcare on the market, including supervised lunches and ski escorts (0830-1800 without the ankle biters). They are a bit expensive but offer discounts for repeat customers. If you're beyond that stage then I would reccomend staying at a mountain hut in Italy. Great skiing and better food then any French resort.
Located in the beautiful world heritage UNESCO resort of Bansko, Bulgaria. This apartment sleeps 6, has underfloor heating, iPod docks linked to speakers in the walls and there is a couple of swimming pools, spa, restaurant and piano bar.
Skiing is suitable for beginners, families and with extensive off-piste areas it is perfect for experienced skiers as well.
Take advantage of Easyjet and Wizz Air flights and cheap ski hire (Euro 25 per week), cheap lift passes and cheap beer.
The apartment is available all year round and prices will vary, so get in touch with me to find out the price for when you want to go. The average price works out at £25pppn and you don't need to worry about booking full weeks.