Bioswales explained and illustrated in the NATCO Urban Street Design Guide. Click on image for details, and visit the Slow Ottawa 'Streets for Everyone' Pinterest board for more of these superb illustrations.
Checking the plumbing layout in a concrete slab before it is poured is one of the most important things the home builder will do. This page gives practical advice on checking pipes in the slab.
Maybe something like this Stegmeier Paver Drain off to the right side of the driveway? or under the "dry creek bed" of the garden?