Have you ever played on boardgamearena? It’s a website where you can join a bunch of board games with people around the world. When it’s your turn, you have a certain number of hours or days to make your move (kinda like old timey chess by mail) and then go back to your life. You can be in many games at a time.
I would absolutely have a blast being a full time stay-at-home Dad. We would hit every Park, library, zoo, and aquarium within a days drive.
Then during the summer, I’d pass their kids to their grandparents house so my wife and I could find a place to SCUBA for 2 weeks straight.