You will probably have one or more nights of frost, even in late March early April... Average last frost in Nashville is April 6th. So you will have to bring some warm clothing and a sleeping bag that goes down to at least 32F. And I would also recommend you have a weather warning radio with you, as that is the time of year when some really nasty thunderstorms can show up....

But other then that, I think late March-early April is a good time of year to do this. Best wishes.