Don't know if I understand your description. Regardless, I'll take a shot at it. I assume your bow is cut close to or even past center. If so, you're either nocked too low and/or the arrow is too stiff and/or your brace height is too low or some combination of these.
If you're nocked too low, the tail end of the shaft will glance off the shelf as the arrow passes causing the arrow to purpoise in flight. If the arrow is too stiff, it will glance off the side plate, which still could leave a mark on the outside of the shelf, but should cause more fishtailing. A brace height that's too low would accentuate the glancing and fishtailing. Of course, if the nock point is too low, a low brace height would also accentuate the porpoising.
If the limbs are out of tiller, it could also cause/contribute to porpoising as well. If you shoot split, you would probably do well to have about 3/16 to 1/4-inch positive tiller. If you shoot three under, even tiller would likely work better. What is it on your bow?
Would help to have more information, i.e., What is your brace height and nock point height. What spine are your arrows and what is the draw weight at your draw length.
One other factor to check. When the arrow is on the rest against the side plate, where is the point of your arrow related to the string when the string is centered on the bow limbs -- inside the string, bisected by the string or outside (to the left of) the string?