As to the OP, when I send a few miniatures from Canada, I usually tape them between some thin cardboard (usually cut up a cereal box of kleenex box), then wrap the cardboard in tape so there is a nice little package. Then I put it in a small bubble envelope (or have even done a regular envelope, wrapped in tape). As long as the max depth is less than .75" I can send it as a 'large envelope'. Ends up costing me about $3-4 to send to Europe vs at least $10 or more for a parcel.
It might be worth a try... maybe just hope you have a nice postal clerk who is willing to send it as a letter rather than a parcel? Maybe say it is a birthday card that's why the letter is thicker?