I have the "aviation only" degree and was recently furloughed. I landed a GREAT job as an underwriter for an aviation insurance company...... I was very lucky though as the turnover is practically NIL.... right place at the right time I guess, but I was told that the main reason I was hired over the other candidates was my aviation knowledge.
There are jobs out there that, believe it or not, actually like the aviation degree. The problem is finding them. Networking is probably more important than what degree you get.