Well guys I just got back from the range and tried shooting with my thumb relaxed on the tang of the stock and with my index finger pad resting on the trigger. My results were similar to what I was already getting. I am still getting a horizontal stringer or 2 to the right about a half to one inch. I am going to adjust my trigger now for maximum overtravel like some of you suggested and like I have been reading about. I will let you all know how it goes.
I'm still thinking that it's something to do with technique. I had to do a lot of dry firing practice to sort out my problems. I shoot a Timney with absolutely "0" overtravel. But, I had to really think about pressing the trigger straight back until it became habit. I've noticed that my hand postion can really affect this. I don't have this problem with thumbhole stocks but my latest custom has a traditional style stock on it. It was a little like re-learning to shoot. What I'm working on now is getting the rifle in the pocket of my shoulder. I've found out that my pocket is more on my collar bone then on my shoulder. I picked up a lot of tips on another site that I don't usually like to visit, but they've really helped out. I can't say with any authority that it's not a trigger problem as I've no experience adjusting overtravel to see what it does. Keep practicing and shooting, you'll get it sorted out. Keep us posted as I'm always looking to learn as well.