Board Game Arena

Actually, a turn timer with a time bank probably would work. 4 min per turn (or whatever is standard) + a 5 min bank you get after turn 10 or something.

So if they quit early, you don't have to wait a while 10 min to play a new game. But gives some flexibility to the later turns.

It doesn't even have to be all of Tuscany. The board is all I need.