If the Transition is the sound you want, then that's what I'd go for. Can't say I've ever encountered one, but Dimarzio generally voice their pickups quite differently to BKP.
The closest, on paper at least, would probably be the Unity, judging by the EQ curve, albeit wound hotter. Reading about the Transition suggests it's clear, balanced, a bit darker - BKP don't really do darker-voiced pickups until you're getting higher output. Maybe a mag-swapped True Grit? But Dimarzio do a lot of different ceramic-based designs and definitely have their own thing going on. Cheaper too, so spending BKP money on a bit of a stab in the dark is a risk.
Alternatively, I'd contact BKP, reference the tones you're after without getting hung up on the specs of the Transition and see what they recommend to get you in that ballpark.