I agree with everyone -- get the degree that is accredited!! It will save you so much pain! I took the easy way out when I was in my undergrad and switched from a BSE in Mechanical Engineering to a BS in Interdisciplinary Engineering (Don't ask me why, I was(am) an ***** I know). The latter was not accredited, and it was very difficult for me to even sit for the FE exam in many states (I moved around a bit because I was in the Air Force).Luckily when I got my MS in Engineering Management is actually WAS accredited (which is highly unusual I know, but true nonetheless!) and Texas allowed me to sit for both the FE and PE because I had enough experience along with the MS.
So take it from me -- don't take the easy way out now! It will hound you later!!!