Maybe I can go back further, but as a geography person, this stuff is interesting. Mileage is to first round site.
2017 1 Tulsa, then KC 221 miles
2016 1 Des Moines, then Louisville 233 miles
2015 2 Omaha 210 miles
2014 2 St. Louis 290 miles
2013 1 Kansas City, then Arlington Tex 40 miles
2012 2 Omaha, then St. Louis, then NOLA 210 miles
2011 1 Tulsa then San Antonio 221 miles
2010 1 OK City (dang, that team was 32-2) 317 miles
2009 3 Minneapolis, Indianapolis 475 miles
2008 Omaha, Detroit, Then San Antonio! 210 miles
2007 1 Chicago, then San Jose 549 miles
2006 4 Detroit 803 miles
2005 3 Oklahoma City 317 miles
2004 4 KC then St. Louis 40 miles
2003 2 Oklahoma City, Anaheim, then NOLA 317 miles
2002 1 St. Louis, Madison, Atlanta 251 miles
2001 4 Dayton, San Antonio 638 miles
2000 8 Winston Salem (played Duke 2nd round, we had 7 losses got an 8th seed) 1006 miles
Analysis:
The committee has been pretty kind to Kansas. The pod system has helped of course, and being a high seed has also helped a lot obviously. But we have little to complain about. It's a great show of respect to Kansas to be given close by first and second round sites.
The last trip for KU in early round games that was more than an easy drive was Chicago or Detroit.
Interesting that in 2000 we had 7 losses and got an 8 seed. NCAA went for the TV matchup and gave us Duke which I'm pretty sure they complained about. Interestingly to me at least is that another 8 seed made the final four that year, Wisconsin, and got Roy's ire when they played the Spartans in the final four and the teams combined for 40 points in the first half.
It's a little disturbing that given the proximity of these sites we haven't gone deep into the tourney more often. Wichita and then Omaha should give us some advantage, but last year teaches that always doesn't work out.