With no tracking confirmation, you have no leg to stand on, sadly. Problem is, even though they are most likely the shoes you sent, there is no way for you to prove beyond any doubt those are the ones you sent. I'm afraid this is an expensive lesson from a scammer buyer. Tracking is expensive, but worth it for higher priced items. Perhaps limit expensive items to North America only, where trackingmore affordable. Sorry this happened to you. Make sure you block this buyer, too.
Rick
"Egotism is the anesthetic that dulls the pain of stupidity" - Frank Leahy