Hey Anon

I am only aware of one right handed boxer who was tutored as a southpaw, and that was Marvin Hagler. He is the only exception. I would encourage you to turn orthodox and stick with it. It's normal for a right handed individual new to boxing to feel more comfortable in the southpaw stance, but this does not mean it's the right thing to do. Your left hand does much more work what with jabbing and the left hook (the power in the left hook is generated from rotation of the hips rather than any naturally given strength). You will over time throw fewer shots with your right hand but these will tend to be natural power shots.

Go orthodox, it'll be better in the long run.

Good Luck

Fran