Hi,
I am from there & graduated from Robinson many moons ago! My DD went there in MS until we moved but her BFF & other friends still attend. I'm definitely biased as LB is a big competitor but I'd lean towards Robinson or Woodson.
From things I've heard from friends in the last 3 yrs, LB has more gang issues. Not to be scary because it's a great area, just little pockets, kwim? I'm not as familiar w/Woodson but always heard great things about it when DD was at Rob. Robinson offers IB/AP & we were very happy with middle school there. It's a large school but most are in that area. LB has more not as nice areas that feed to it but my friend's son goes there & does fine too.
If you'd like more info, I can ask around & would be happy to give any help w/neighborhoods or point you in website directions for any area info.