When you say “loping” it sounds like you mean bow is rising and falling? I can think of two things. (1) trim angle is too much, try backing off on the trim a bit; (2) jack plate is too high allowing the prop to slip, then grab, then slip, etc. Again, try lowering the engine height ¼” at a time to see if there is improvement.
Or are you talking about chine walking where the bow wobbles from side to side? Different issue, although similar causes. Problem is not quite clear based on how your query is worded… I’ve re-read it several times. I begin to think you are talking classic chine walking when you mention “bouncing even when low”. If so, that is an issue that first needs driver input. There are several good posts on here detailing how to stop chine walking before it starts. Proper balance of the boat left-to-right, and fore-to-aft, non-excessive trim angle, tight steering with no slop, no broken motor mounts, or loose bolts, no air in steering, the list goes quite long…