Having problems fretting D Major with your "big fingers", then improvise and try either one of the suggestions below:
1. Bar the GBE strings on the 2nd fret using your middle finger, then use your ring finger to fret the B string on the 3rd fret.
2. If still that is not possible for you, then bar the GBE strings on the 2nd fret with your ring finger, and use your pinky to fret the B string on the 3rd fret.
I say No. 2 approach is little bit difficult because the pinky is the most difficult finger to train; however, it is doable. Just practice!!!
Good luck!
Lycaean