CarpetCritter - I don't know if you're aware, but K-State has a very close affiliation with the FlightSafety International Cessna Center in Wichita, KS. FSI Wichita takes intern applicants from K-State and puts them into the SIC programs. The commitment is a "gentlemen's" agreement for one year and then they will type-rate you in whatever jet you get a job in. Along with that, whatever program you're in, they will SIC type rate you. I am currently an intern here in the CE-560XL, CE-650, and the CE-750 programs and love it. Also, once you become proficient and are social, the chances of being asked to do contract trips increase. I have only been here for four months and I have just received my first full-time offer to fly a CE-650 out of Farmingdale, NY.
I did the same route as Crockrocket and did some teaching down at FlightSafety Academy and then got this job. If you go to FSA, there are more opportunities to go to different FSI centers because of the Business Jet Direct program between FSA and FSI.
You fly with chief pilots from all around the world and the exposure is priceless. For example, I just did a recurrent with the chief pilot for Cessna in the Citation Ten and just from "flying" as his co-pilot, I learned so much. Its an awesome learning experience and I highly recommend it for anyone wanting to get into corporate aviation.