Add another category for due dates - "someday".
Like ASAP but the items appear BELOW dated tasks.
martinbrook shared this idea
I see what you mean... I think it's just that it would be nice to have a way of saying "this is urgent enough to appear on the Due Tasks screen (as this is what I always look at first) -- but I don't have a definite due date for it yet".
Martin, actually, all tasks are by default "someday". Why this doesn't work for you?