I am left handed as well but over the many many years of flight simming/gaming, I have gotten used to using a HOTAS. Currently, I use a Logitech Wingman 3D Pro. Not a real HOTAS as it has the stick, rudder and throttle built into one unit. I had been using a Saitek X45 for the longest time so the transition to the Logitech was sort of painful, but with practice I got used to it.
Still can't use a mouse with my right hand though.
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My PC Specs:
Traitorous transistorized toad....Blithering blatherskite....Hopeless heap of tainted tin