I too am left eye dominant, and shoot pistols right handed.
Most people make a big deal of out this, but it's not an issue at all. With handguns just put the gun up in front of your left eye and go. Assuming you're using an Isoceles or modified Isoceles stance.
The "drama" over cross dominance is generally from instructors who are not cross dominant making a mountain out of mole hill dealing with students who are cross dominant.
When I first learned to shoot I struggled, as I naturally wanted to shoot long guns lefty, but the people teaching me insisted I shoot righty, because I did most other things right handed. When they learned I was left eye dominant, they suggested all kinds of strange things to compensate for it, but insisted that I not shoot lefty. Lo and behold once I started shooting long guns lefty I had no problems.
Then I first started shooting handguns in the military, and they insisted that I use the Weaver stance. Never mind that it's a bad way to shoot, it does make it a little difficult on people who are cross dominant. Again, compensating for the eye issue rather than modifying the stance were the order of the day. Later, in my LE training not only was I encouraged to use a modified Isoceles, but I was also told to quit doing things like closing or squinting my left eye, but to simply line the gun up in front of my left eye and go. Almost, immediately I went from being a mediocre shot with a pistol, to being quite good.
BTW, you never hear a person talk about dealing with issues of eye dominance when a right eye/right hand shooter practices shooting with their weak hand. Why? Because it's not a big deal, they just shift their arm and head slightly and line the gun up in front of their left eye. People talk about lots of issues when practicing weak hand, such as grip, trigger control, etc, but never do I hear talk of eye dominance when practicing weak hand shooting.
With pistols just line the gun up in front of your dominant eye, regardless of which hand you a gripping the gun, and regardless of which eye is dominant. With long guns just learn to shoot left handed. It's not hard to do at all.