Hey there, so a lot of aspects of your profile look good apart from a Sub-par GMAT. How many years of work ex do you have? If you have quality work ex with a renowned brand, it will work out in your favor.
I would suggest that instead of targeting only lesser ranked schools, it is a better strategy to break your target schools into dream, competitive and safe so that you have a better chance of getting into the best schools according to your profile.
You can think of ESSEC as your dream school, IE as competitive and Grenoble as safe.
Also, which intake are you targeting?
If you have time on hand, you can take up some activities to add value to your profile, which will help you compensate for the low GMAT as well.
Think of taking up a CFA certification, take up projects where you get a chance to hold a position of responsibility, etc.
Lastly, do think of re-taking the GMAT. Since you do have a decent profile with a 670+ score, you will be able to target much better schools then.
You will find a comprehensive list of MFin Schools here that you can refer:
https://www.mim-essay.com/blog/masters-in-finance