And be not conformed to this world: but be ye transformed by the renewing of your mind, that ye may prove what is that good, and acceptable, and perfect, will of God. Romans 12:2
If you aren't dead set on the BRT there are a couple loop trails with good access to water in NW Arkansas I have hiked. The shores lake to white rock mountain is a good challenging hike with plenty of forest and rugged terrain that matches well with hammock camping.
Arkansas is definitely one of my favorite locations but late summer on the BRT and most of that region gets plenty hot and buggy. Look at it as a non tropical jungle hike haha.
Tim Ernst's guide is full of info as well as the ouachita maps online site.