It would definitely be contrived. Let's see how contrived! ;)

    class FizzBuzzer():
        def __init__(self, num):
            self.mod3 = num % 3 == 0
            self.mod5 = num % 5 == 0

        def check(self):
            s = ""
            if self.mod3:
                s += "Fizz"
            if self.mod5:
                s += "Buzz"
            print s

    def main():
        buzzer = FizzBuzzer(n)
        buzzer.check()

Yeah, that's really contrived. Still, you display a familiarity with encapsulation, objects & their attributes/methods, etc.