Upvote:2
"""...as I've read in other forums that mentioning a boyfriend or fiance is a red flag for some embassies."""
That was my first thought after reading the first few lines of your post. Unfortunately, Schengen/EU embassies approach your application from the assumption that visitors from Asian countries would not return once they land in the Schengen area, and you have to convince them otherwise. Even if an applicant tells them the whole truth (as you did) and have no intention of breaking their visa conditions, the chances are they will be refused visa if they declare the existence of an EU boyfriend or girlfriend. Had you applied for a C visa with a regular invitation letter from a "friend" your age, you'd have better chances of a successful outcome.
IMO, applying to the French embassy soon after the rejection from the Swiss one would not make things any better, especially if you also change the purpose of your visit (from visiting boyfriend's family to leisure & sightseeing). I'm not sure if re-applying to the Swiss embassy with a solid visa request letter explaining your circumstances would help but obtaining a C visa from France right after you were rejected from the Swiss doesn't have bright prospects.
You also said you provided more documents than they asked for. Some embassies do not like this. Follow the checklist closely and ONLY attach the documents that are directly relevant. If you add too many papers that are not really needed, it may be seen as an attempt to impress the visa officer with everything you could gather about your assets/work/business/profession. This is just anecdotal so don't take my word for it, but in my experience and that of my friends, reams of papers with many stamps and attestations often go to waste if basic documents (e.g. 6-month bank statement etc) mentioned in the checklist do not satisfy the visa officer.
Good luck and best wishes.