If you have a good installer, he should be able to cut (recess) grooves into the underside of the boards for the wire to run through. That along with some thinner, low-profile speaker wire such as 16 ga. lamp cord and you should be in business. We did something similiar with our floor, an 18 ga. wire for power and a phone wire. The two come up out of the floor under the couch to provide power and service for a lamp and phone located on the coffee table. That way there’s no wiring stretched across the floor from the coffee table to an outlet.
Regards,
Wayne A. Pflughaupt