Personally I think you are a "class act" trying every way you can to just get paid for your item without it turning into a "shit show" of "he said this or did that wrong". To me not giving out the purchasers name just shows you are trying to be "more than fair" and just asking to be paid for the item you sold.

With that said I would send the buyer a nice little note and let him know he has 48 hours to make things right or you will post his information.