The roads are paved and I've seen a couple cyclists while I was there.
Ouachita national forest has several biking trails in the general area.
Is this road cycling like paved roads?
If you drive up to 3 Sisters Spring Rd, then take Little Blakely Trail to Highwater Hill Rd, the Little Blakely Trailhead is the start of a nice little hike. I do believe I've seen some folks bike it. You can Google Maps to "Little Blakely Trailhead".
Thanks! Your answer is awaiting moderation.