Small claws such as hers wouldn't experience much pull towards the magnet, unless the magnet was very strong and physically in contact with them. Even then, Laura could detach her claws if necessary.
I'm not saying Tim wouldn't win. But bringing a huge magnet to the battle field and trying to attach Laura to it so that she somehow couldn't break free is probably not the way.
Sonics, smells and flashbangs are more Bruce Wayne.
Tim Drake would trap X-23 with tech emitting hard-light constructs. They have really made him super smart in the last five or so years. Tim was always smart, but I mean genius smart.
1 week is looooooot of time to give to someone like Tim, especially with no limits on what he can bring. Like Saint said, basically any street would be up shit creek here.