The "Le Monde Créole" association has a great reputation and offers tours in French:
https://www.mondecreole.com/
By the way, I highly recommend exploring the French Quarter with a French-speaking guide—it was amazing. If possible, do this before visiting Laura Plantation (tours available in French) because during the tour, they go over the history of its owners, which makes the plantation visit even more meaningful afterward.
I haven’t done it myself, but they also offer a Cajun gastronomy meal with a French-speaking guide. If it’s anything like the tour I took, it’s definitely worth it:
https://www.mondecreole.com/visite/repas-decouverte-histoire-de-lart-culinaire-afro-creole-et-cajun-de-louisiane/In Lafayette, the restaurant at the Vermilionville eco-museum is really good.
While I’m at it, about Vermilionville—I should mention that the museum visit is absolutely worth it, but the bayou walk next to the museum is pretty disappointing.