For final precise sizing after fitting the bush my personal preference is to hone rather than ream. I find honing to be more precise and gives a better finish than reaming.
Also, on the gloom and doom side, how much wear is there on the mainshaft? Usually, if a bronze bush is worn to that extent the underlying shaft is badly worn also. There isn't much point renovating one without the other.
Again, I have refurbished mainshafts using an electroless nickel system. This is not electroplating but instead uses a chemical bath where the plating medium can be precisely controlled so a very accurate repair can be made that is ready to fit as soon as the job is removed from the bath.
A sweet gearbox is a thing of joy. I appreciate why you want to get it right.
Good luck,