I always suggest that the shooter shoots with dominant eye and choice bow same ...if possible
Having said that...being right handed I can barely draw a bow with my left hand let alone shoot one...
Although I always coach or instruct shooters to shoot with both eyes open those with "cross dominant" eye's I simply suggest closing that eye and go with what bow hand is comfortable...more regular shooters close one eye to shoot than most think...some don't even know they do it.
Closing one eye and using a peep will/could make things much easier...some after good form developed using this method can open that eye for both eyes open and shoot as per normal once lesser eye is trained.
We have found many with "cross dominant" eye's also tend to be more ambidextrous and can actually shoot both hands almost as well...As stated above visit a PRO-shop near you and give a few a try is the best avenue...
Neil