Hey,
I swapped to an Nitto B125. You are right, you only have one position ... drop part. I think you should try a short stem to get the short-flat-bar position. Also, I feel the curvy shoulders are more bullhorn-like when it is closer to your body. (Just for a record, B123 has deeper drop than B125.)
I was gonna switch back to the classic road drop (like B115), but I am pretty happy with a short stem.
T
P.S. this stem is 40mm.