RE: Advantages of an airfoiled stab?
on that size I don't think you are going to notice, but conventionally... it will increase pitch stiffness, stability, and reduce drag. As for the "flap effect", they are pretty much the same, when you go to 3D a plane, the R# are so low that fuse shape and wing position have as much to do with how well it files, as the tail airfoil does.
Best of luck!