The Ramstein Inn is very nice and is connected to the large PX facility, and has access to several restaurants and a bakery. That might suit your needs quite well.

If you have a week, you definitely want to do a cruise up the Rhine river on one of the cruise lines (you can sail from Bingen, about one hour drive from Ramstein). http://www.kdrhine.com/

You would also be somewhat close to the town of Heidelberg, with it's castle. This would be another day trip.

This base is also about 40 mins-1 hour from the French border and about 2 1/2 hours from Luxembourg City. Bastogne is about 3 hours away, if you or your hubby are WWII buffs.

If you want to spend more time close to the Rhine river, you may want to base yourselves out of Mainz, Bingen or even Koblenz. Koblenz is where the Rhine and Mosel rivers meet, and you could take an interesting drive along the winding river roads through the wine towns of the Mosel.