I have pretty much accepted the fact that there will never be rings made to fit me unless they are made to fit babies.
I wear a size 3, for those wondering.
A ring with a motif in the middle can be made to fit you. Easily and relatively cheaply, if you go to a jeweler. You'll have to negotiate the price, keeping in mind that the jeweler is going to keep the gold that is removed from the ring to make it smaller.
A great big (and little, like your fingers) opportunity for you would be to look at antique rings, which are all over the bidding sites, like Etsy or Ebay. Many of those rings are in your size and can't be resized. You should be able to get a gorgeous antique ring for short money, because the market for an adult size 3 ring would be negligible.
I have seen dozens of antique rings in high-karat gold for a fraction of the price of a modern ring in a similar style. Adult women's rings are currently made in a range that's in sizes 5-9 inclusive. That leaves a whole lot of little rings around for you.