Does it need to have infinitely variable control or would 3 or 4 steps work? If so, a multi-position switch with appropriately sized capacitors will work.
That will work, but be careful, connecting capacitors in series won't necessarily reduce the speed. One of the first mains experiments I did with a shaded pole motor stator was to connect a capacitor in series with it and the current actually increased, rather than decreased. The capacitance can cancelled out the inductance of the motor, plugging it closer to resonance, hence more current. It started to get hot and if I'd left it for too long, it would have overheated.
To reduce the speed, the capacitance should always dominate the overall impedance, i.e. X
C>>X
L, meaning the capacitor's value should be lower, than what you'd expect for a typical capacitive dropper circuit. If you don't know the motor's inductance and lack the equipement to measure it, start with low value capacitors and increase from there.
To eliminate the possibility of resonance, I'd recommend an inductor, try a fluorescent lamp ballast, or high powered resistors, rather than capacitors.