One possibility is to head out of Branson on US 65 then take MO 86/AR 21 to Eureka Springs, AR (which is worth a visit if you have time.) You would have taken US 62 @ Berryville, and US 62 will take you all the way to Bentonville.
It has been several years since we have made that route, so I can't comment on the recent road conditions. I don't know of any route between Branson and Bentonville that is anything like an interstate--slow driving, that's for sure, but I always enjoy it. It is only a 90 mile trip but I would allow almost two hours (not counting any stops.)