There are lots of AG dolls on eBay, on both the US and UK sites with global shipping and multiple payment options.
eg
[url=http://www.ebay.co.uk/itm/My-American-Girl-Doll-18-Just-Like-You-Layered-Brown-Hair-Brown-Eyes-59-BNIB-/271928363079?pt=LH_DefaultDomain_0&hash=item3f50318847'>link[/url'>
[url=http://www.ebay.co.uk/itm/AMERICAN-GIRL-DOLL-OF-THE-YEAR-GRACE-THOMAS-18-W-Bracelet-Book-FAST-SHIP-NEW-/221761873557?pt=LH_DefaultDomain_0&hash=item33a209a695
'>link[/url'>
[url=http://www.ebay.com/itm/American-Girl-GRACE-THOMAS-18-Doll-OF-THE-YEAR-2015-WITH-BOOK-BRACELET-NEW-/151555274035?pt=LH_DefaultDomain_0&hash=item234965f533'>link[/url'>
Yes, I did exactly the same. Called the number on the American Girl doll website and ordered and paid with my International card 10 minutes. Sent here via my American shop and ship address and the process was very fast.
If you call them and order over the phone, they will accept an international CC. I have done it several times now.
I have found that most US companies, who will not accept Intl. credit card payment online, will accept International CC when you call them and order by telephone.