Oh, snap.
While Nutria meat can be cooked a wide variety of ways it can be on the tough side thus improves with low, moist heat.
https://www.exoticmeatmarkets.com/Nutria-Meat-Buy-Nutria-Meat-Nutria-Meat-recipes-s/221.htm
Not if you hit them with your car and run them over after leaving them on the side of the road to tenderize for at least 3 days on hot asphalt. Well some people may not like the smell after this type of tenderization The taste will leave you speechless.
Are they nutritious?