I've never had a horse shipped, I wouldn't know what the charges are. I'd ask around about shipping. I'm not sure if my mother would be willing to ship her up for you, and even if she were, I'm not sure how soon we could get her up there seeing as we participate in a travel volleyball league and are gone at least one day of most weekends.
As for the mounted shooting, and I'm just considering your safety, I'm not so sure how she'd take it(my mom isn't so thrilled about thinking of her plus a gun). She's a shy horse, and she sometimes is rather spooky. I'm not meaning this to turn you away, because I think she'd be a great mount for you or your boyfriend, just maybe minus a gun. She was abused before we got her, so it may take some time for her to get used to a new owner.