There are LOTS of versions of the original available. Abbott and Costello often changed theirs, shortening it or lengthening it or adding specific details.
I've got the A&C version here somewhere because we did it for awhile onstage with two actors. I've also got the Sesquehanna (sp?) Hat Company version, which they also did.
There should be no worries about copyright. Though A&C made it famous in movie mainstream, it was a vaudeville staple for lots of comics long before that.
Any one of their variations should be easy to do. I've also got one I wrote that is political, but some of the characters have changed, so I don't think it'd work now.