I lived in OK for a while and in the winter we fished the creeks with flooded trees alongside the channel. Some better fish were caught getting a bait as close to the wood as possible. Always with a float and I used a minnow at the time but a jig would do fine also.

Also look at a YouTube post from i_fish on rigging a jig hook without a head for drop shot. Inexpensive and the hook has no choice but to ride point up. Worth the look and the watch.