But is the motor toasted or is it just making noises? Because if it is the ball bearings, and they can be replaced, that is completely different than if the brushes are gone, or if the rotor winding is shut.
Then we need to ask, is this an AC induction motor, or an universal AC? I don't know much about either (I am more of a stepper guy), but whether they can be fixed or not will depend on the motor topology. For example, a universal AC motor who has had depleted brushes can be easily fixed by changing the brushes. You should be able to find a replacement. If it is the rotor winding, you can also change all the copper wiring. Not a pleasant job, but I have seen a few individuals who prefer to revitalize an old motor than to get a new one and this is one of the things they do. Not saying this will be cheaper or better, just saying it can be done. I personally wouldn't do it, though...
If it is an induction AC motor, then I have no idea what it would take to fix it.
BTW, you will also need to know what kind of motor you have if you go with the "replacement for a new unit" route as it may be a capacitor start or a capacitor run. I think they are both different topologies and if you replace it you need to replace it the right way. You could also strip the whole electric segment and then install a completely new system in which case you can just add whatever is needed, regardless of what the old unit was. Now you can get fancy and add a BLDC or a PMSM with all sorts of nifty electronic controls. May be too much complexity, though. Just mentioning options.