...but I tied up Babs (literally) for a bit. So for the moment, I got nothing (unless you wanna join the small group looking for her).
However, when she is out of danger, you can expect she'll be casing him. Her dad's a cop and she works in the school library, so I bet they've met before. She will find his living conditions reminiscent of her ex-boyfriend. Will it matter? No. Why? Babs likes cute boys.
In terms of vigilante stuff, I think Babs is gonna make one more plea to Batman to be let on the team. If that doesn't work out, maybe she can get on Nightwing's good side.