Not sure, would Mr. Edd Kalehoff himself probably keep lead sheets of his compositions?
As far as transcribing, I have a "tin ear". I DO have a good program for putting the sheet music on the computer (it's called Sibelius 6, FYI)
If I had to guess, I would assume the main portion of the song (the part heard in the show opening) is either in A or B-flat...