It's about 90 miles east of Memphis but I would recommend the Shiloh battlefield. It is one of the best preserved Civil War sites in the country.
Agree and...there is a restaurant on the river somewhere around that same area that we visited. Catfish and big fireplace. Really neat. Seems if memory serves me correctly there is an existing cabin that was the original. Whole area was flooded at one time. Information with photos is inside the restaurant. Really, rugged, neat atmosphere. Good food too. :) Have a fun and safe trip.