What level of English test do you currently have ?
It might be best to target the B1 level.
All depends how the immigration rules get re-worked.
Waiting until October might put you under time pressures, depends how competent and confident you are.
If you arrived into UK 27/07/2014 the earliest you should apply for your FLR(M) is shortly before your 30 months residence which as you correctly say is 27/01/2017
I'd suggest sending the application around 02/01/2017 and hopefully receiving it by the end of Jan.
Alternatively you might want to make a personal appearance by premium same day service but of course there's a significant price hike for that.