Pat...when I'm hunting with my Right Hand bows, I use the backquiver 95% of the time, 5% when raining, use the Cat 3.5. Right now, not comfortable using the backquiver when hunting LH. Feels too awkward.
My favorite backquiver is the Dave Creger and before that, John Schulz heavy latigo quiver. The heavy quiver gets stiff in cold weather but collapses well on the back. That's why I recommended the softer leather from Howard Hill. The Creger, now has a third strap to adjust on your chest. Retails for around $125 from FS Arrows.