I was also an early adopter of the BDDI. The mid scoop was fine with my mid-forward basses, but sometimes it didn't work. In that case, rolling Blend back to between 11 and 2 o'clock would often solve the problem. Cutting treble and bass (a "reverse mid boost", so to speak) could also help.
I haven't tried the BDDI v2, but these days I have moved on to other Tech 21 overdrives.
As for one of your questions: you could certainly use the DI out on your Radial and use the BDDI v2 as just a "Bass Driver".