I don't think you will get an AC-output stabiliser stable to 0.5% off-the-shelf or at a sensble price. No commercial equipment requires this stability - note the distinction between stability (voltage not changing) and accuracy (knowing what the voltage is). I would also be surprised if vacuum cleaner motors are that stable, for example the IR drop will vary with winding resistance which varies with temperature.
I would suggest using a closed-loop control system, where the controlled variable is monitored and used to correct the motor voltage. If you want constant speed, then you could use an optical tacho looking at a black sector painted on the fan impeller visible through the suction eye. If you want constant pressure (removing the fan curve from the delivery characteristic) then get the feedback from a pressure sensor. This kind of system will give you your 0.5% but setting up a PID controller is a bit complicated to describe on a forum!
BTW what engines do you tune?