How often, here on ETO, do we advise someone that you cannot get a quart out of a pint pot, and that the components that they are proposing to use are just not up to the job.
I think that this is going into the same territory.
What would I do?
Get a second PC ATX PSU and connect the high current 12v outputs in series to give 24v.
Obviously you need to ensure that the second 12v supply can float at 12v above ground. If both 12v supplies are referenced to chassis ground, this scheme will not work.
Or,
Get a suitable 24v transformer and rectifier to provide the 24v.
Probably no need to use a capacitor to smooth the output which is to be PWM'd, I dont think that the motor will care less if it is supplied with a PWM'd 100Hz rectified supply.
JimB