I am quoting my own sentence because I have just made a few changes.
Tonight I was working on a new anchor point,lower to be exact.Now I am anchoring under my chin and find myself to be looking to the right of the string with better results.
I am anchoring under my chin to give me more room for my pins.Now I can use my 3rd(bottom pin) with comfort.Before I couldent see the whole thing due to the no-peep blocking its view.
I was reading the direction sheet that came with the no-peep,as I was adjusting it again tonight,and said that archers with a high nocking point(corner of mouth) tend to look to the left of the string.And archers with a low nocking point(under chin) will tend to look to the right.Seems pretty accurate to me.
So ya,I guess my vote will go to the right of the string.

Are you anchoring to the corner of your mouth(high anchor) ?

I just did the same with my hind sight. After reading this thread, I decided to try looking to the right of my string. It lowered my kisser from the corner of my mouth to my chin. Feels much more in control now. Shooting's no better yet but it feels more solid.

I took my Peep sight off and put a Hind sight on. I really like it, I robbin hooded two arrows this summer with it. I out shot the guys I worked with in Iowa at the 3D corse and at the video corse. They are only $30 and I think they are worth it.

I use peep w/tubing (silicone tubing) ,,i'v always shot with one eye (RH) seems as though for me that extra eye opened (Left) only allowed for a potential distract.

My right eye (dominant) is on the right side of the string. I also shoot right handed.