Route suggestions Fredricksburg, Va area to Memphis area

Not me. Try this. From Richmond I-64 to I-81 to I-40 t0 Memphis. Then I-55 south to Jackson Miss to I-20 West to Vicksburg. Coming back I-20 to Birmingham then I-59 to Chattanooga. Then I-75 back to I-40 back to I-81 then I-64. You pick out what to see along the way. Hard to avoid Atlanta if going to Savanna but I-20 isn't that bad through there early or late in the day