Well, Shiva has the same weird sort of pseudo-precog that Cassandra Cain has. Honestly, her dodging ability is probably comparable, more or less, to DD's.
Trouble is, Bane is tailor-made for Bullseye. I can almost picture him rubbing his hands together and going, "Oh YEAH, baby!"
And then it's Shiva vs. Bullseye and DD together ... which I just don't see how she could win.