An outdrive for a marine vessel, such as a watercraft having an inboard engine, is provided. The outdrive can include a standoff box joined with a drive unit having a driveshaft that rotates in response to rotation of an input shaft coupled to an engine within a hull of the watercraft. The drive unit includes a propeller shaft that rotates in response to rotation of the driveshaft, and an associated propeller. The drive unit is vertically movable from a raised mode to a lowered mode, in which the propeller shaft is a preselected distance from a bottom of the boat hull, thereby lowering a thrust point produced by the propeller, all while the watercraft is moving through water and while the propeller is producing thrust. A related method and standoff box are also provided.