I've had similar problems with a persistent nock high, and quite often it has been caused by shelf bounce, or false nock high.
If you use a split finger string grip, false nock high can be caused by pressing down excessively on the arrow nock with your index finger at full draw. The solution is to lower your string elbow until you are pulling straight back on the string and have no excessive downward index finger pressure on the nock. Or, the index finger pressure may be caused by excessive use of the arm muscles, in which case you need to learn to draw with your back muscles and relax your arm and hand muscles.
If you use a 3 under string grip, false nock high can be caused by having too low of a nock point. You mentioned that you started at 5/8” and worked your way down to level with no results. It may be that your nock point should be higher than 5/8”, even 7/8” or 1” is not unusually high with a 3 under grip.
Or, you could be bouncing off the electrical tape. If all else fails, try removing the tape and see what happens.