Cold rinse, aloe gel and AS.
Bar soap seems duplicative to me. I rinse my face with cold water after my last pass, then apply alum, then rinse the alum off with more cold water, then apply witch hazel using a cotton ball, leave it to air dry and finish with an aftershave splash. If my face feels dry I’ll apply a balm before the splash. I feel this approach would do away with any shave soap residue.