In one aspect, an exemplary method of manufacturing a magnetic head assembly is provided. In one example, the method includes forming islands in a magnetic head structure to define a pair of mini-outriggers adjacent a data island, where the data island is separated from each mini-outrigger by a void, and a width of the data island along a direction of tape transport is greater than a width of the mini-outrigger. The method further includes lapping the head structure to remove a portion of the mini-outrigger, thereby creating a wrap angle between the tape and the surface of the data island. In one example, the lapping process reduces the mini-outrigger height relative to the data island in an adaptive manner, where the final contour and height of the mini-outrigger is influenced by the data island surface, e.g., by the width, radius of curvature, and the like.