The harmony would definitely need to be simplified. But I wonder about the melody itself. I just took a look at some sheet music, and there are one or two accidentals involved. Those notes just might not be found on the fretboard, although there are always workarounds. (You could change the melody slightly or bend a string to get the note you wanted.)
Another option would be to choose a chromatic tuning such 1-3-5. But in 1-5-8 or 1-5-5, I think there would be a missing note or two.
It's certainly worth a try, though!
Dusty T., Northern California
As a musician, you have to keep one foot back in the past and one foot forward into the future.
-- Dizzy Gillespie