How hard would taking Calculus II in the fall of my freshmen year in college be?

Let me explain. I'm having a tough time filling out my classes this summer before I head off on which Calculus class I should start off with. I'm going to be an Engineering major. I just took AP Calculus AB and I'm pretty sure I got a real solid 5 on it (not trying to gloat or anything). The thing is that I know that Calculus in college is different from high school, considering you can't use a calculator at all (at least at my school). So I'm debating on whether or not I should accept credit from my AP exam and jump into Calc II or refute my credit and start with Calc I. I did extremely well in my AP class but I did work my butt off to earn my 96 in AP Calculus. Any advice?