what are the closest hotels to the horse shoe casino in elizabeth
I can't give you any specific answer, but I would guess the closest would be the hotel @ the casino itself; but I'm guessing from the nature of your question you might not want that.
Beyond the casino hotel, probably something in Elizabeth (if they have any, I confess I didn't check). Beyond that I would say New Albany, IN (an/dor the general Jeffersonville/Clarksville/Sellersburg area) and finally Louisville, KY.
Hope this helps and sorry I couldn't be more specific. Might try to get on-line later & poke around a little to give a more definitive answer.