sallyh,
I'd try...231 out of Montgomery, in Troy take 87 to Elba (watch the fork; make sure you stay on 87), STAY ON 87 through Samson; if I'm not mistaken it turns into Fla 81 at the state line. STAY ON 81 until you come to Hwy 20 in Bruce (road forks, you will want to go left). Left on 20 across the Choctawhatchee River. In Ebro, turn right on 79. Watch for signs; you'll need to turn left on 388 just before West Bay.
Pretty direct and shouldn't be much traffic. Do be careful at the intersections with flashing lights - they are there for a reason.
Should you miss 87 to Elba, there is a way to skirt around the west side of Dothan, and then there is a *small* road that turns off Hwy 52 by a white house that, if you stay on it long enough, will dead-end into Hwy 79 in Bonifay. I couldn't begin to tell you how to do this though. The last time I took that road from B'fay to Dothan, I encountered a cow in the middle of the road.