It's much easier to correct eye dominance problems, so I'd say go with a left-handed stock and an opaque patch on the right hand lens of your shooting glasses, which will force your left eye to focus on the target, thus correctly aligning the sight picture for left-handed shooting.
Have you shot with any guns yet, and if so, what sort of stocks did they have, how did you get on, and what problems did you experience?
Having said that, I would strongly recommend that you pay a visit to an experienced Instructor prior to any shotgun purchase. Explain the situation, and let him have a look at you shooting clays with club guns; he will be best placed to advise you correctly so you don't waste money buying something unsuitable.
PS - what's with the capitalisation of every word? It makes for exhausting reading, and it must be a bugger to type!
