The receptacle box has three sets of wires
By receptacle, do you mean "switch"?
The odds are that you don't have an extra wire going from the switch to the fan. Sounds like you have power in, power out and one set going to the fan.
Installing a remote control is an option but it can be a pain to jamb the reciever into the fan canopy.
To hardwire for a fan/light you would need to install a 3 wire cable from the switch to the fan/light. If you were in Chicago, you could simply push another wire thru the conduit.