A complaint I've heard from my remote coworkers is: "Yeah, I like to have lunch with ya'll when I'm there. But when you're remote, like, the whole day is just sitting staring at a computer. The last thing I'm interested in is having my lunch/eating time be more of that". Have you considered doing something along the lines of real walks "together", using headphones?
I haven't - but that's a good idea! Might have to do another post...