I'd say you're better qualified than I was when I was rejected. My stats when they said no were a 2.8/2.9 GPA at a prep school, 1360 SAT. I had no AP credit at the time of my application, though I was enrolled in 2 APs. It's hard to say though with college admissions. I'd say apply, and apply early (I believe Purdue has rolling admissions, in which case it's first come, first served.) Perhaps more importantly though, is how much you like the school-- not just the flight program. Yeah, you're going to spend as much time as you can out at the airport, but you're also going to spend a heck of a lot more time on campus. Make sure you like the setting. You're going to be there for at least 4 years...maybe more if you stay on as a CFI or need an extra semester.
Incidently, if you're looking for a school that's going to get you King Air time, I'd look at Ohio University. The program doesn't have the bells and whistles of Purdue or UND, but the instruction is top notch and Athens, despite being in the middle of nowhere, is a great college town. All students have the chance to apply as volunteer copilots in the two Kingairs (a 90 and 200) and the Navajo once they have their instrument ticket and can be paid once they have their commercial and multiengine. Additionally, students can be paid as CFIs once they get they're certified. (As early as sophomore year if you work hard enough, though most start junior or senior year) Good luck to you whatever you choose.
-Rob