Inspector
Nyuck, Nyuck, Nyuck!
A decade or more ago I took a 2 speed tool grinder in for an estimate as one of the windings was burnt out and the centrifugal switch was in rough shape. They told me $400Can to $600Can to rebuild it. They said unless a small motor was unique and nothing else would fit they were not economical to rewind. They said (at that time) that motors under 60hp were not worth rewinding and he figured soon that threshold would be 100hp. I never bothered going elsewhere, especially since a brand new tool grinder was less. Perhaps things are different in the UK so I am interested to see what your shops tell you. Your bandsaw motor should be close enough to standard that a new motor can be made to fit even if it means drilling a couple new holes in the mounting plate.
Pete
Pete