When I was working with tour pros, they had a love/hate relationship with little mounds on the edge of the green, since the typical play was to land just on the green with chips. Jim Colbert called them "spikes" and eloquently pointed out how they affected play. you land just on the right or wrong side of it, and you have a tap in or a monster putt.
I thought of something like the Garden City 12 green, with a big roll. Truthfully, with today's green speeds, I often put a +/- one foot ridge along the entire side of the green so nearly any miss to that side (often slice side in place of traditional bunkers) plays the same. Mow it as fairway and the choice to carry, chip or putt up and over the one foot rise to a green falling slightly away is tricky, if not close to impossible to get close.