Great thinking Caissus with one caveat ... you would need to put a limitation on time accumulation though, say, a maximum of 3y days to complete their next next move otherwise someone with a lot of extra time up their sleeve and losing could still be a pain! (For example someone with 2m/5d game might make 10 moves in one day but would never be able to accumulate more than 15 days between moves even if the accumulation effect might have given them
25 days.)