Contact some of your local churches or go online and contact some churches in Nashville. There will be many churches that will be accepting clothing/food/water/tents/cots/blankets, etc. That way it will be more personal. When dealing with National organizations you can never be sure that anything you donate will go to where it's supposed to.
Sorry but I'm just not a Red Cross fan at all. Can't stand them but I apologize, in advance, if I'm stepping on toes. My dislike of them was confirmed when they flew a friend's son(a soldier) home from overseas for a family funeral---his father had died. The money that RC had "donated" was taken out of his pay for quite awhile until he got it paid back. Not a charity in my book.