US 71 to Shreveport and I-20 from there. I would say that would be the shortest route.Another way might be 30 to Little Rock, 40 to Memphis and pick up US 78 to take you through Tupelo, Birmingham and then get on to 20 there. Google maps says that is shorter, but Memphis is always hit or miss traffic wise.So I would recommend just going to Shreveport.
Ask the Bandit.
Pick up I- 20 East in Shreveport.