You might get a handful of general eduaction credits, but I wouldn't expect more than 9-12 total, but ultimately it depends on the college, so as TVA said, you'll need to ask, and probably send them your SMART transcript. You might be able to get a few more credits via CLEP tests, but contact the universities about it.
As an aside, NE almost locks you into nuclear and ME is less specialized, so you're probably better off going that route. Although after some time as an officer, you might be able to start as a manager, so the type of engineering degree would be less important. Don't take my word for it though, as I have no experience on that part.