With reference to your final reply in this question:
I will speak with Chambre de Commerce et de l’Industrie (CCI) in Caen on Monday to check about setting up an entreprise individuelle while not being a resident. An entreprise individuelle is registered under your name, but you can still have a trade mark or trading name nom commercial. You would need to indicate this name when you register the business. You can also register the trade marque with INPI ici marque.
Any news on this?