I have never tried the Blackbird, but almost the complete ATT range (except H1,H2, S2) and both the Wolfman and the BBS-1 (as well has 4 versions on the RR Stealth Slant, EJ DE89, Progress,...)
First things first to get it out of the way: the craftsmanship and finish of the Wolfman/BBS-1 is second to none (also from the pictures of the Blackbird I have seen) - and with that I mean they are a league on their own.
Having said that, the ATT are fantastically made and the choice of baseplates and the 30 day money back guarantee make them for me the ideal razor, for somebody, who wants it straight away.
I don't like overly aggressive razors, but a nice heft. I guess I have large hands and not the softest touch, yet a very wiry and dense beard coupled with the delicate skin of a rose
I have to do 4 passes anyway, due to the growth patterns and density of my beard, so I prefer mild-medium razors. I actually quiet enjoyed the shaves I got from the EJ DE89 - except of course from the blade chatter and fit and finish. So with that in mind, this is currently in my den (from least to most aggressive):
RR Stealth Slant V1 (my travel razor)
ATT S1 Colossus
Wolfman SB (standard)
BBS-1
ATT R1 Kronos
Weber PH
Having said that - it is very very hard for me to pick up any other razors, other than my Wolfman or BBS-1. If I want a super close shave, I go for the R1. If I want to do a fully automatic shave, I go for the S1 or RRSS.
The ATT R2 plate is too aggressive for me, the M1 too mild and the M2 is nice, but an OC - and I don't like the feel of them.