well I know a lot of folks that learned like you, not using the dominante eye
many I know used a patch to get over things too

I still an eye problem can be the root as some times an eye can focas up close but now farther away, and when using a peep and then sights it can create a blur?
have you maybe thought about trying a NON peep set up
like the sights with the torque eye, hind sights or like/s
not fun to have to buy more things, but maybe a bow shop would let you try and then see if there is a difference , without a peep then?
just an idea?