France also has complicated residency qualifications, and you would have to have the money to show them that you're financially sound (or be sponsored by a resident), and it takes time to get a Carte de Sejour and Social Security number. Most French employers also expect you to be pretty much bilingual, reading, writing, and speaking, and many ask for another language as well. Maybe do some work on your languages while you're looking? Also look in areas of work where being a mother-tongue English speaker will give you some brownie points.
I thought I had quite good French until I actually got there. It also depends where you live, and how many people from elsewhere in the community...near Paris, it was fine, but when I lived in the south, there was a certain suspicion of foreigners.(I lived there for quite a few years).
Maybe at least sound out the international arms of companies you intend working for. If one of you has a guaranteed post to go to, the company will do all the residence paperwork, and it's a lot easier if you have at least one income to rely on while the other is searching for a job. The other thing is to think laterally and look around your skills to a post which will be roughly in your are and where English speaking is a plus point?
As @PetiteRaleuse pointed out, you could also maybe look at other countries, like Belgium or Luxembourg, which have a continental climate?