I do ride toward the center on the road. The edges of the roads around here are so piss patched and miss matched you pretty much have to ride in the center.
had a similiar problem but the cause of my problem was under inflation. I didn't realize that I had a leaking valve stem. One day I checked the pressure because it felt as if I was sliding in turns. When I check the pressure, the pressure was 15lbs. It had been like this for some time.
The chicken strip is wider on the RH side than the LH side, you might have V&H big radius and is afraid to scrape them..... If you need alignment and are in the Atlanta area, I have the BDM alignment tool....