The BDF (current size) is based around the 22xx sized quadmotors and 4" diameter props. They are not as "powerful" as a 70mm EDF, but they are more EFFICIENT. A 4" BDF is about the size of a 100mm EDF, but runs on a 35A ESC, whereas a 100mm EDF is gonna need at least a 80-100A ESC. It's not designed to be an EDF "competitor", but rather an alternative.
I don't know the absolute thrust numbers, since it varies based on motor a prop combination. In some of my own testing I've gotten around ~2.3lbs of thrust installed. That was using FT Radial 2207-1750 motors on 6S with 4x4x4 props. Overstreet is experimenting with slightly larger 22xx motors, different Kv ratings and 4S as well as 6S, and he's getting some better results. The 'final' numbers will still vary, but when they release as a Power Pack I'm sure they'll have specs to go with it.