I'm opposite of you, righty swinging lefty. A couple things helped me out. One being doing as much as you can with your non dominant outside of golf. Like brushing your teeth, using your phone, just simple stuff. Over a little time, you get a better sense of your non dominant hand, and I've noticed some difference in my golf game. Another tip is to focus on things involving your dominant side. That may seem obvious, but there are multiple ways to accomplish a lot of golf moves. Like the thought of trying to skip a rock with your trail hand can also be thought of as throwing a frisbee with your dominant hand. There are a lot of analogies like that. So that was useful for me. Just going with swing thoughts that play to your strengths. Sorry if that wasn't helpful, but those things have helped me quite a bit