Best guess for the 3 star $57 hotel (Free Wi-Fi, Disabled Facilities, Pets Allowed, Non-Smoking Rooms) is the Appart'City Classic Nimes
Our guess for the 3 star at $61/nite with Free Wi-Fi, Business Center, Disabled Facilities, Free Parking, Pets Allowed, Non-Smoking rooms is the Kyriad Nimes Ouest A9.
You didn't ask about the 3 star for $63 with Plunge pool, Restaurant(s), Free Wi-Fi, Free parking, Pets allowed, Wheelchair accessible... but if interested in this one i believe it is the The Originals City, Hôtel Nîmes Costières, Ex Inter Hôtel
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Let us know what you decide and how it goes or how we can be of further help.