Law Enforcement, and the Intelligence Community. Though, most of these organizations are better off in many ways when compared to the military in general, especially when it comes to adapting and evolving, in civilian organizations things don't have to move like a glacier and if some dude needs to be fired and things need to be changed, then it gets changed, fast.
If you can get into the IC, you can still end up in combat, if that's the sort of goal you have. On every operation, someone or some people are around gathering information, exploiting info, etc. on the ground, near or on the target. Especially if you can get into the DIA. (The Defense Intelligence Agency), which is a primarily HUMINT focused combat support organization that specifically focuses on direct support for combat units and Special Operations, as well as carrying out their own operations, of course.
Edit - additionally, depending on the issue that is keeping you out of the military, look into the French Foreign Legion.