Using just a resistor and diode in series with the motor is possible, but the resistor would be very high power and get very hot !
You say the motor is wired like a hairdryer motor. Does this mean it is in series with the rest of the circuit ? If so, it must take the same current as the rest of the circuit. It would be helpful if you provide a circuit diagram of your project.
Circuit attached for capacitive AC dropping and rectification. Start experimenting with low value capacitors, I guess about 0.05 microFarad, and work up in steps, checking the voltage you are getting across the motor.
(Sorry, my theory is rusty, please can someone calculate the values needed ?)
Also, keep your fingers of the 120 VAC wires when the circuit is on !
Use two capacitors, one in each supply line, to isolate the high voltage from anything you might touch.
Input capacitors:
Must be of sufficient voltage rating for the supply.
NOT electrolytic (unless bipolar) or tantalum.
Smoothing capacitor on output is optional.