Unfortunately the short answer is that it will be difficult to find a job if you're not a French speaker, full stop. That said, however, your education and relative proficiency may put you at a bit of an advantage.
I will investigate further but, in the meantime, have a look at sites like http://www.thelocal.fr/jobs to see if there may be anything there.
If you haven't already, have a look at our Working in France page for a bit more information. In the meantime, I'll see if I can find anything else out for you.
I had a chat with Lane, our expat expert for Nice, and this is what she said:
"...each company varies on the level of French required, but it would be beneficial to achieve the highest diploma of French if possible, just to strengthen an application. The market in Nice is tough when it comes to English-language media companies. As for a school recommendation, unfortunately the only program I am aware of is at Sophia Antipolis."
Have a look at her Moving to Nice article.
Hope this helps put things in perspective.