Atlanta to Branson Mo

The best way is 125 miles further than the shortest way...Bham, Memphis, then US 64 to US 65. It's 770 miles using I-75, I-24, I-55, I-44 to Springfield and then south to Branson and probably worth the extra miles.

Have you checked Google maps? I see three routes. Going to the Street View I would stay out of Arkansas as the road seems narrow and twisty. Going through Memphis to Springfield and then South to Branson seems better. We came into Branson from the southwest last summer and wound up on a tight twisty road that was better suited for motorcycles. So, Street View the route you want and see what the road actually looks likes.

Do you have an RV park in mind? I can highly recommend Branson Lakeside RV Park.