If you are staying around Eureka Springs, I recommend:
62 W to 12 E (?) through Hobbs State Park to 23 S
Take 23 S (aka the Pig Trail)to 64E to Ozark and have lunch at the Rivertown BBQ.
After lunch, take 64 E to Clarksville (you can double back and take 40 if you don't want to go small town to small town.
As you are leaving Clarksville, take 21 N to 292 E to 123 N through the Ozark National Forest.
Follow 123 N to 7 N. to Jasper. Nice little town to take a break. This is where we had lunch on the group ride during the 2006 MW Meet and Greet.
Take 7 N to 412 W to 62 W back to Eureka Springs.
If you are headed further east, I can tell you how to hit the Pig trail and the Arkansas Dragon in the same day.