Since you’re not averse to running wires visibly along the baseboard, the easiest thing to do would be to simply put a rug across the entry and run the wire underneath it. Beyond that, it’s impossible to give advice on these things without a site visit to determine all other options. If you have ample attic access, my in-wall wiring article gives lots of helpful hints – you can find it in my signature.
Regards,
Wayne A. Pflughaupt