I shoot with both eyes open but it didn't come easy. I shot right handed and am left eye dominant to make it just a bit more tricky. What worked for me was after coming to full draw and finding my target through my peep, I opened the other eye to see the whole picture. It took the better part of the summer to perfect this technique and yet sometimes I still get crossed. When I do I blink with my left eye, my right eye finds the target with the pin on it and when I open my left eye I again see the whole picture.

Give it a try and don't get discoraged. It takes time and is easier for some then others but it can be done. I find in low light nothing beats shooting with both eyes open.