Lefty Shooting a Double Rifle

I'm a southpaw and desperately want to add a double rifle to my collection. I have had the opportunity to shoulder a few doubles, but they have all been left handed. Most felt like they pulled up to my shoulder and eye well, but without actually shooting them I don't know. I shoot a very nice Spanish double sidelock shotgun with double triggers and have no problem even though they are right handed.

My question is even though a double usually has a cheek piece for a right hander, is there...

Lefty Shooting a Double Rifle