The number of turns needed to get a certain speed at a certain voltage depends on the flux constant of the motor, which will vary from one model to another although not widely. Is there no intact coil that you can unwind? Sometimes you can get a very good approximation by weighing a coil cut out of the armature in pieces, measuring the mean length of a turn and the gauge of the wire.
I would be surprised if it is cost-effective to rewind, as new motors are probably made for a fraction of the value of the time you spend doing it. If you can find a source.