I don't know what options are open for BDCPers prior to winging, but you should look into it. If you can go get a Master's early it will save you some time and heart ache later.
As I had it explained to me, while in grad school as an Ensign (In primary now), that the aviation community expects you to have a Masters degree by the time you are an 0-4 or there abouts. However, when you ask a detailer about grad school options, generally the response is "Now isn't a good point in your career." Basically, again as it was explained to me by an 0-4, there really isn't an easy place in an aviators career path for him or her to attend grad school. I've heard most people do it in the evenings on their own time.
Of course, if I'm wrong someone feel free to correct me, but that was how it was explained to me.