PaulH hasn't flatted in 20,000+ miles. Maybe he'll chime in.
Either the thicker tubes work, or tire liners work, or both. I can't discern the efficacy of each because I use both. No flats in 7,000 miles.
Having a mirror might help, too, allowing you to move left with confidence when able. A lot of pointy things are blown right, toward the curb, where they await you.