Hi, I thought I share my experience as well. I am not a native speaker but I've lived in the US for a while now. I am not sure what you struggle with but I really struggle with reading passages dealing with geology, history, art or politics. In college I've taken chem and bio classes so I am fairly comfortable with that language. And I am also comfortable with reading business passages.
So what I do is depending on at which point in the test I see a hard passage, if it's somewhat towards the end, I will blow through them to save precious time for SC and CR. I find that I am better at SC and CR because it's more logical.
I am practicing what I preach so I wll let you know if I can improve my verbal score. I am currently 690 (M-52, V-32) So I guess I am in a worse off position than you are in. But best of luck and I am sure we will both get over to the 700 side.