I started a thread last week for the picture of my new glasses I bought specifically for bow hunting, but here's my summary.
I shot with feather to nose for a bit, when I transitioned to shooting with my glasses, I had to turn my head more square to the target. With nose to feather, my dominant eye would barely be able to see the target out of the corner the lens. If I was off just a little, my non-dominant eye would take over.
Have a fairly high and back anchor, and would get some string interference with my normal pair of glasses. It wasn't a problem, but every once and a while I would jostle my glasses out of place when reaching anchor. I didn't really feel it, but could clearly see my glasses move watching video of me shoot. Note that I don't have the arrow directly under my eye.
I just bought a pair of wrap around sunglass frames with clear prescription safety lenses and they have solved the string interference for me. I did have to try on about 15 frames to find the ones that fit the closest to my face and still feel comfortable.
A lot will depend on facial structure and anchor position. I would suggest trying to change one variable at a time to see if anything helps (frame style, anchor position, head square to the targe, etc))