Well, if time is an issue, then I would stick to I-10.
For a much more leisurely drive, then consider US Hwy 90.
Enjoy, and that is a bit of a drive.
For travel in that time frame, I also recommend the MS Gulf Coast.
One has Bay St Louis/Waveland, all the way to Ocean Springs, spread out on the MS Sound (unfortunately, not the clearer waters, such as off of Gulf Shores, and not the “sugar sand” of the FL panhandle, but very nice, nine the less).