You covered all the most convenient choices in your OP. Without going way, way out of the way there is an alternative. Consider
1. I75 North to I10.
2. I10 West to exit 130 (Route 231 North)
3. Rt 231 North (four lane highway, but not limitted access) to Montgomery, Alabama.
4. I 65 North to Indianapolis, Indiana
5. I69 North to Michigan
My experience with this route is as far Norht as Indianapolis. I like this route because it takes the traveler through Nashville. One can not go through Nashville without seeing a show at the Grand Ole Opry.
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