if you are doing a short sale, you are not "letting the property go". It is a sale just like any other sale other than the mortgage lender is releasing the mortgage lien for less than what is owed.
You will still owe the delinquent property taxes and they will be expected to be paid at closing unless you negotiate something different with the buyer.
btw: if you do a short sale, you need to not only get the mortgage lien released, you need to get a release from the mortgage loan completely, if that is what your lender is doing.

