You'll never go hungry on a diet if you drink lots of water. Drink water when you're hungry. Water is filling. Water is calorie free. Water has no cholesterol.
Water is fat free.
Your stomach won't have an opportunity to rumble when you drink water, because it will be filled with waves of wonder instead. I'd always taken the opposite approach to fighting a cold or sinus infection. I'd try to stop the drip and drain with allergy tablets or a nasal spray like Afrin. The idea is to get rid of that nasty fluid as soon as possible. You want those sinuses to drain.