Since I started shooting with digital cameras and the ability to see images at 100%, I have largely abandoned hyperfocal distance focusing. Too often the main subject never seemed quite sharp and the far distance was't really sharp either, only some intermediate point in between was crisp (if there happens to be anything at that distance) and it just looks wrong unless the image size is kept rather small.
See what is the main point of interest of your picture and focus on that. Sometimes if I want the background to be more in focus (landscapes) I might focus a shade behind the primary subject to make the background a little more defined, but only if I have stopped well down so am comfortable the DOF will cover the subject. But even then I often find the subject turns out a bit soft (or my focus accuracy is poor - I mostly use manual lenses and focus errors are more common than I would like!)
The only real alternatives are to use a tilt lens so you can place the focus plane over the subjects near-far, or to use focus stacking (or both), or stop down further and live with some diffraction.