(Correcting myself) ah yeah, it looks like he can't trait out if you use Bola after a launcher, although he can do it out of a raw Bola. As for the matchup itself...
He basically nullifies everything Batgirl does except for Smoke Bomb, but you can still zone him semi-effectively using hit-and-run tactics, and try to force him into the corner. Once he's in the corner, his trait won't help him as much. Other than that, you pretty much just have to rely on long blockstrings, frametraps, and MB special moves to get your damage, and only use B2 sparingly or inside of vortex.
Oh, on that note, I've been trying to practice hitconfirming B2 into U3 so I can enjoy the +0 on block when it fails. The window is a lot longer than a lot of strings, so it's definitely possible, but very difficult. Let me know if you guys have any luck witht his, it could be a really useful technique especially vs characters who can punish B2U3.