Not that I fully understand how the load application point moving and the load rotating all works but maybe instead of a sequence of static studies you do a dynamic study with the load moving and since you are not particularly interested in dynamic effects then the time steps could just match the spatial descretization you had in the series of static studies. Then maybe a set of sensors would work to extract the min and max you are looking for. Are you only interested in the global min and max or the spatially distributed min and max for each element? If you think this has any merit I would do a small experiment on something simple to see if would get you what you want. You can get the field output from the list results options.