Do less barbell work would be my only suggestion. Same with any pulling movement. Use a single cable or dumbells most of the time. Don't make the weights heavier on your left. Maybe do your left arm first when you're doing single arm stuff because you'll be more fresh on the first side you do.
I have the same issue with my right quad looking 20% bigger than my left from squatting so much. I did the bio impedence scale at my gym and it said my right and left matched almost exactly everywhere, except my legs. Weird thing is, it said my left leg is bigger. I don't really trust those scales. My cheaper home impedence scale matched it almost exactly though.
I joined a gym and started doing straight body building for 12 weeks to sort things out with the intention of getting back to powerlifting at home after 12 weeks.