Sneak attack fighter is a poor choice generally, I would never take it. Yeah, you get full SA progression. You also have basically no skills at all and no way to obtain sneak attack after turn 1 (if you can even win initiative). Sneak Attack becomes your ONLY class feature, and many of your armor proficiencies become absolutely pointless.
Agree with the others; just take the 1 BAB hit, it's not that bad...