Oh no, I wasn't saying the accent on the 'i' was the French way. You said something like "It would be cool to have it spelled the French way" - I totally forgot that your real middle name is Maria - I was thinking it was Marie. That's why I said mistakenly that you already had it spelled the French way. Sorry for the confusion!
How often do you use your middle name? If you don't really use it, it might be less hassle to simply spell it Marie, because accents can be troublesome on official documents (although perhaps not in your country?). I'm glad my 'Maríe' suggestion was some use, anyway; hope it all goes well!