I would like to bring up 12/2 cable to put a 110 20A electrical outlet on the wall. The house is old and there is not enough space behind the drywall to put a box (it is an outside wall and there are not any outlets in it). In addition, I tried elsewhere on this wall to drill a hole down to the floor below but was unable to get it. So, I'd like to bring up a cable from the floor in front of the wall and install a surface mount box with an outlet. How should I go about this? BX cable? Conduit between floor and box?
The outlet will be for a portable air conditioning unit in the summer and space heater in the winter, thus the sole outlet on the circuit.
Red marking is where I'd like to bring up the cable and install the outlet.