Your best bet is to involve them in activities that are completely non-tech related, and preferably don't try to engage the overworked analytical skills. It would be great if some (but not all) of the other folks participating are also techies looking to get away.

Movie nights, pot-luck dinners, low impact walking/hiking/cycling, drawing/painting lessons, pottery, museum visits, a book club, gardening, are all possibilities, and I am sure you can think of others.

Just, find a way to let the "burned out" capabilities rest while letting (not making) them engage with others on entirely different terms.