I imagine you would not be able to paper tune with any sort of clearence problem. Here are a few things to check for and a couple of suggestions.

1. Check the clearence at your rest. Are you sure that there are not clearence problems at the rest? Put some lipstick on the edges of the vanes and shot a few times. Then check the rest and riser for lipstick. If there is problems at the rest, it could be kicking the arrow.

2. check all starting points again, the center shot horizontally and vertically, nock point, tiller, arrow spine,

If there is no possible adjustment, you may want to try to use feathers, they will forgive more then vanes on any clearence problems.

You may want to go to a plunger style, or drop away rest, so you can shoot with the cock feather out.