My Baird's literally FLY out of the cage at feeding time looking for the first thing that moves. I have to use long tongs and get out of the way double-quick. I've never worked with snakes with a more powerful feeding response.
The only bite I've received from a Baird's was an offensive one...before I had time to think, it came out of the cage as soon as it was opened, missed the mouse on the end of the 18" tongs, caught sight of my juicy finger, decided that was "the mouse", sped past the tongs towards my hand and WHAMMO! -- it struck and was wrapped around my hand before I had time to react.
A couple of seconds later, it apparently caught glimpse of the 190 pounds of Homo sapiens it had managed to capture, and it relinquished its hold and discretely slunk back inside the cage, as if he was hoping I didn't notice his mistake. I still have pictures of the embedded teeth I removed from my finger afterwards with tape.
The last creature I'd ever want to be is a mouse living near a population of bairdi. LOL I'd be a nervous wreck!
So, to answer your question...a resounding YES!!!...they are EXCELLENT mousers, even from week one. I think they might share a common ancestor with pirrahnas somewhere back in their phylogenetic tree. 
Dusty Rhoads
Suboc.com