Can you put a kickstand on the righthand side? Kickstands are always on the left, likely because gears occupy the righthand side.  Has anyone had success with installing a kickstand on the right side? 

After using my left-side pannier routinely for six years, I've noticed that my left leg might be a bit stronger (or at the very least, provides better balance in yoga).  To switch it up, I now load up the right pannier.  But without the kickstand to provide counter-balance, my bike inevitably topples over at every stop.  

I ride a 1970s Schwinn Le Tour with a hefty touring rack.
You should look into getting a folding double kickstand. They're great for loaded bikes. Both legs fold off to the left side, but when you kick it down one leg supports each side so the bike stays perfectly upright.