Yes, IMHO you need a filtration system. 12-14 days without enough water for cooking/coffee/drinking, etc. would be a real PIA. For a lake hunt, I take a primary filter like a katadyn vario and then a smaller backup, just in case. The bigger one will make 5 gallons of water in 10ish minutes and weights about 2 lbs. 
You're spending a lot of time and money for a great hunt (kind of like an investment), and not taking a filter seems like a poor use of your investment. Studies have shown iodine disinfection is not totally effective in inactivating Cryptosporidium oocysts in water. You don't want to risk crapping all day everyday, since you're there to hunt... Time is precious. Besides I'm assuming you're on a beaver, so weight isn't much of an issue unless you're flying out and back with other clients. 
Others may differ in opinion, but that's my two cents.