Given the location of available hotels, renting a car is likely the best way to reach West Lafayette. Shuttles are available from both Indianapolis Airport as well as Chicago O'Hare. The simplest option for travel is to fly into Indianapolis and then either take the Lafayette Limo shuttle, the Reindeer shuttle, or rent a car and drive up. Both shuttles stop at Four Points by Sheraton. The median travel time from the West Lafayette to the Indianapolis airport is about 1:20 and the tails are pretty thin. Alternatively, you can fly into Chicago O'Hare and drive or take a shuttle.
Purdue University Visitor Information
http://www.purdue.edu/vic/
Indianapolis International Airport
http://www.indianapolisairport.com/
Lafayette Limo (from Indianapolis airport)
http://www.lafayettelimo.com/
Reindeer Shuttle (from Indianapolis airport and Chicago O'Hare)
http://www.reindeershuttle.com/
Express Air Coach (from Chicago O'Hare)
http://www.expressaircoach.com/