Easiest drive to go white water rafting from BR

Probably the Ocoee River. 8-9 hours plus a time zone change. There are 2 primary sections and they're rated for different levels.

Numerous outfitters go. Know when the water's on!

Schedule.

The Hiwassee River, also dam controlled, is not too far away from the Ocoee. Tamer. Maybe Level 1-2 type stuff. We've even tubed it and used the rubber kayaks. Beautiful river!

The Mulberry in Arkansas is 8 hours away.
https://byrdsadventurecenter.com/raft/


Also, don't forget kayaks on the Buffalo River in Arkansas in the Spring. Good amount of 1 to 3 level rapids that my kids loved.