For those not familiar with the A/C in question:
RecPro RP-AC2801As to the original question, I'm not sure if these were designed to support the RecPro line, as they do not include any wiring diagrams for that model line, though they do have a generic wiring diagram that does not appear to remove the run capacitor completely from the circuit.
If I was to guess, your only option would be in the middle left hand side between the front and rear sections in the housing, attaching it in some fashion to the side of the inner shroud that I believe houses the cabin air fan housing.