Shear friction can only happen with fully developed bars or tendons. It is not the shear on the dowels, it is the friction across a cracked plane restrained by the reinforcement across the (potential) crack. Using the dowels as the shear transfer is just that, like a bolt. Design the beam as singly-reinforced, and make serviceability a primary consideration (that is, make it as stiff as you think you need.) Have bars at each corner and stirrups/ties along the length. It will act somewhat like a precast element would. You may be able to use the slab for the shear transfer at columns, or you may want/need to create a key into the cover of the existing column. Since it will not be integrally cast and will not have top edge lateral support, avoid narrow sections.
I have done this, and we "hung" the slab below using threaded rods and plate washers to connect the two. If you truly do not have access below, be cautious about your connections to the slab. Be sure mechanical anchors are pretensioned, or the adhesives are properly selected, mixed, and placed.