> Would the bat count as part of the body for being safe?

No. Although there's nothing in the official rules that says so, I 
guarantee no umpire would consider a runner safe who touched a base only 
with a bat or other object. A runner wouldn't even be safe if he touched 
a base with his cap held in his hand.

-- 
                -        Jeff Lichtman
                         Author, Baseball for Rookies
                         http://baseball-for-rookies.com/