I'm talking 250-300 seat pressure, 850-900 over the nose 7500 rpm gas stuff. I've ran sweep patterns worse than that ( not because I wanted to) and not be the worse for wear after 200 plus passes.
Your stem height is high right now so lash caps aren't going to help. I don't know about shimming your pedestals, it could be done but it would take some work.
Diesel Power said it all when he talked about custom valves. You either need a lower valve stem height, or higher rocker pivot to move your sweep closer to the center of the valve tip.
Check your valve at seat, half lift, and full lift. Where is the rocker contacting the stem at each point? It should sweep from rocker side to valve side and back.
Not at all trying to be an ass, but google shaft mounted rocker geometry. Big block mopar, ford, and a lot of your high end rockers ( TD, Jesel, Harland sharp etc...) are shaft just like a cummins. A lot of good info out there. Wish I had a magic wand to wave and give you an easy fix.