Roger, I agree re the biblical rain we're having presently. What I have seen, back 'home' in Bellschaft, where heavy impervious clay underlay skimpy (think 2") topsoil, we regularly used 'field drains' across driveways and soakaways of 4"-6" stones, protected by membrane, before topping.
The field drains were simply clay pipes laid end-to-end in the old days, but more modern practice (cheaper?) has been trenches - up to 2' deep - filled with 2"-4" sharp stone, membrane protected and about 4" good soil on top. The trenches and drains were always angled downhill, no particular fall, the 'batter' being nearasdammit 1-in-80 as you could get to emulate sewer 'fall'.
HTH, Sam.