I have two right handed daughters who are left eye dominant. One was able to close her left eye and shoot right handed without any problem.

The other daughter for some reason isn't able to close her left eye. She tried shooting left handed but she found it very awkward. Finally we place a small strip of Scotch tape on the centre of the left lens of her glasses. This way she can keep the left eye open while shooting right handed which is how she feels comfortable.

The type of gun to be used is, to me, a personal thing that can only be answered by the user.

Jim