Routed access LAN design in progress, what about WiFi?

I'm setting up an office LAN (~20 48p switches) using a lot of refurb Catalyst 3750x, and I want to design it as a full routed access network, down to the clients (with VRF). We already have many Ubiquiti AP; does anyone know how to fit them in this scenario? Of course there is the problem of client mobility between APs. I was thinking about tunneling them to the core (that I suppose will be made by a bunch of N3K), but I don't really like this double-standard solution...

Any hint will be appreciated :).