Does the "red dot illusion" work for you?
I have cross dominance, and one thing I have learned, after years of trying various methods to compensate and talking with tons of other cross dominant folk is that everyone is different, and there is no one fix for everyone. I have had tons of people, some highly trained tell me that the only way I will ever shoot worth a darn is learn to shoot left handed. Bunk. Anyone who tells you they have a one size fits all solution for your problem, I dont care how highly trained, obviously does not have the condition.
I pistol shoot right handed, just bring the gun up to my left eye with both eyes open. Rifle shooting I shoot straight up right handed, and it works for me. So, take everyones advice, but dont take serious any hard set advice about "the only way you can shoot well is" horse feathers. Try everything, find what works for you and your condition. I have tried and tried, I cant hit the broad side of a barn left handed!
Russellc