This is going to sound weird, but can't you just turn the rack "inside-out"?
If it is like my TD12 rack, it is a three-sided thing... __/
If you open it out straight and then fold the two arms the other way, it would be left-ised.
NOW, I believe that the pipes are curved, so folding it backwards would mean the pipes curve "inwards", but I think these pipes are just clamped in place and if you loosened the clamps you could rotate the pipes so they curved the other way.
If the pipes are "keyed" (to stop them turning in the clamps) then this might mean it can't be done.
Of course, this rests on a bunch of guesses that might not hold, but it could work....?