Driver has the right idea, but the wrong product; what is needed is a product that goes by the tradename "Wiremold" or its equivalent. It's a form of wall-surface-mounted, decent-looking, paintable metallic conduit that will meet NEC requirements. The hollowed-out molding will not meet NEC req's. Wiremold sells pre-formed inner and outer corners, surface-mount outlet boxes and other useful accessories for successful completion of your "impossible" job.
BTW, I would have the electrician use STEEL (not aluminum) BX armored cable up to the point where you make the transition to the Wiremold because of its superior magnetic shielding properties.
BTW, I would have the electrician use STEEL (not aluminum) BX armored cable up to the point where you make the transition to the Wiremold because of its superior magnetic shielding properties.