I have had great success with the no peep but the last week I have noticed that my groups are widening. Have you mounted a level on your sight I think that that is the problem I am canting the bow a little or something. I shoot a whisker buisket and the groups are kind of a triangle or a flat line.

When you set yours up how close is the string to your line of sight?

I would go without a peep, but it depends on the size or your site.

My no-peep lines up just to the right of my string when I'm at full draw. I tried going a little further right but it doesn't feel comfortable to me when I anchor.

You've likely hit the nail on the head... canting the bow generates random results. Add a level to your sight, preferably reading the bubble at dead level right under the sight pin heads. You won't have to hunt to see it and your groups will tighten up significantly.