The thing about carb icing is that the engine wouldn't "falter a little bit", it would run like an absolute shitter.
Mine did when I had it when I first got the bike, and it always kicked in a mile away from my house, I even used to park the bike in the same spot to get through it.
You can eliminate this though by adding 99% Isopropyl Alcohol to the fuel tank, which will bind with any possible water in the tank and burn it off safely as fuel, but also lowering the freezing point of any moisture in the carbs, either from the air or fuel tank.
Because of where you live there is a greater chance of moisture in the tank due to humidity so it's certainly worth a go.
I use it a few times a year in my bike around winter time to remove any unwanted moisture, although as Fazerider pointed out the carb heater circuit pipes that are there to try and keep the carbs a bit warmer have very narrow channels and can get easily blocked up.
200-300ml per full tank is the right amount.
It's actually cheaper for 5 litres of IPA than it is for 1 litre of the fancy stuff you get in bike shops (Silkolene Pro FST), which never worked for my bike either, and the IPA won't ever go off as it's virtually pure alcohol so can be kept for use each winter time like I do.
http://www.ebay.co.uk/itm/5-LITRE-PURE-99-9-ISOPROPANOL-IPA-SOLVENT-5L-CLEANER-ISOPROPYL-ALCOHOL-/191708801187?hash=item2ca2bc28a3:g:N14AAOSwPhdVR6F3