Looking for advice for sober 25 year old female first-time solo traveler on a inspirational trip of self-discovery, driving from D.C. to Houston, TX.

Likes: natural beauty (especially water - lakes, rivers, oceans), history, art, music, meeting new and interesting people, shopping, comfort food, and new/different/weird experiences
Dislikes: fire ants, alcohol

I have never driven south of Myrtle Beach. I like to find the cheapest way/best deals to do things and I am not worried about running out of money. No time constraints.

Any route, destination, attraction suggestions?

Thanks,
Erin