-BigH what i meant by saying " i dont think you can use the slab for your vertical loads" was that a regular depth of the slab on grade being used through out cannot be used, as i proceeded with my post i also mentioned that "for vertical loads you need to increase the size of the slab below the columns" so i too agree with increasing the depth.
Shin, what i would feel comfortable with is that you desing isolated footing for your vertical loads, if you want to reduce the size of your isolated footing (incase your uplift is the critical load governing the size of footing), give it a litle soil cover of say 2 to 4ft, this would cater for your vertical loads, and connect the slab on grade with your pedestals comming from the Pad, using hairpins as to resist the horizontal load, so Pad for Verticals and slab for horizontals !.
There are also other ways, but mostly this is what i use, its simple and probably most commonly used