I am left-eye dominant, but have found that I can sight just fine with a Leupold Scout Scope, mounted, of course, in the forward (scout) position. Things do not work so well with the cheaper scout scope marketed by Springfield Armory, probably because of less-clear optics. It also works with my Trijicon Reflex mounted in a forward/scout position. FWIW, with a normal optic, mounted on the receiver, close to the eye, I must close my left eye, when shooting from the right shoulder, or I will see the left side of the as a strongly dominant image, if not the only image.
I went to a gun shop and tried this concept with an Aimpoint, mounted on a AR, in the forward/scout position. It worked fine. Of course, no shooting was involved.
Of course, my eyes are not your eyes, but try the Aimpoint in the forward/scout position; it might work for y'all, too.
Another thing to consider is an offset mount, such as the mounts that will put an optic at 1100/0100, or 1030/0130. I have thought about trying this.