Jack - you're mixing two different optical principles. The DOF split is the result of hyperfocal focusing, while the effect of tilts is based on the Scheimpflug principle. The combined effect will determine what parts of your image appear sharp (at a given enlargement ratio for the hyperfocal method) but they are not directly related.
I'm well aware of the Scheimpflug principle as I shot LF for many years. Schempflug is used specifically for altering the Plane of Focus (PoF) effectively increasing DoF between near and far elements. The Dof split as you refer to it still exists wiht Scheimpflug, only now it is at angle to the imaging plane instead of parallel to it. Moreover, the SHAPE of the DOF zone is now changed from co-planar to an anguled-triangle extending foward with its apex at a point below your lens (assuming forward lens tilt).
Hence I am not mixing optical princles, but rather combining them in a way that increases efficiency in the field -- a skill I honed to perfection years ago shooting landscapes with 4x5 and 8x10 field cameras.
So, to restate, by BEGINNING with your focus point at the theoretical hyperfocal for the elements you want in focus just as though the lens were NOT tilted (and assuming you could stop down to a small enough aperture) -- as opposed to your method starting with the closest object -- and THEN applying forward tilt -- which will extend Dof forward and down from the front object and rearward and up from the back object at the same time -- you get to your desired final focus point with far fewer iterations than with your method. Any experienced LF shooter will tell you the same thing...