Dr,
Those BPS stops are very thin diameter. In order to get a bead that won't let the stop slide through, the bead eye will be tight enough on your line that it won't slide freely down the line during the retrieve. It sounds as if you may need a larger bead eye and a larger diameter dacron line to use as a stop. The bead should be able to slide freely down the line as you retrieve. My beads never go up inside the guide eye. If the dacron line is too large, it will hang up as you cast. Experiment, experiment, experiment. And you will have a system that won't give you any problems (except for the jig-eating riprap or brush).