Deployed an extension cord, and may have found the perfect box fan location for keeping the living room livable. It’s just at the intersection of the living room and kitchen doors where they connect to the hall, angled to blast right at the entertainment system which has been feeling much too hot today. Side benefit, the cold air it's now moving blows right on my feet. Angling it down the hall might get cool air to the bedroom. You know I’ll try it later.
The cats though would like to lodge a few complaints. First offense was my moving their scratching post. Second offense is the mere existence of the weird noisy wind machine.
Everyone will just have to adapt to the new paradigm.