Baritone questions


Senior member
I saw a band tonight, the bassist was using a baritone in a few songs and the sound was interesting!
I have a Fender strat body and the first question is if a replacement baritone strat 28 5/8" scale will fit the body. The pickups will locate under the proper harmonics?

I checked the baritone options... none of what I want so more questions.

1) Vintage modern construction baritone neck?
2) 21 or 22 frets?
3) Fatter back contour than standard thin?
4) Straight radius?
5) CBS headstock?