Everything depends heavily on rain, even the easy more reliable runs. Hopefully at the very least the Mulberry and Big Piney will have water for you to float, they are scenic runs with large watersheds that will hold for days to weeks. Steep creeks are primarily west to northwest to north of Little Rock, they will need a couple of inches, and you at them in generally no longer than 6 hours (if it stops raining). There are some awesome creeks from IV to V hidden in the hills of the Ozarks though, unfortunately they are hard to catch and require a big event. A good middle ground that is a potential if we only get decent rain while you are here is Richland Creek, it is fun Class III-III+ creeking with some good boofs, and does not need as much as other Ozark creeks and will generally hold for a day or two (depending on the season).
Check out the Arkansas Canoe Club message board at Arkansascanoeclub.com - Index page
to hook up with people and the Ozark Whitewater Pages site for beta at The Ozark Whitewater Page: Paddling In Arkansas And Missouri
The most reliable gauge correlations can be found at Ozark Creek Information Summary
Lots of boaters in the Little Rock area (and Arkansas in general), so finding people to boat with shouldn't be a problem. Good luck, hope you catch some elusive Arkansas creeking.