David,
My son and I are going to be close - in the KC area for his AJGA tourney qualifying there on the 9th. We were thinkning of driving to Colbert Hills to play - and that is a course of mine worth seeing for sure, and maybe Wichita CC, Prairie Dunes and Flint Hills. That may not fit your time schedule though, as its a few hours from Omaha.
I hate to rank my own courses anywhere. I think they are all good, of course, but Champions is probably the best of mine there, even if it is a "timepiece" of late 80's architecture - lots of contouring. Highlands and Woodland Hills in Lincoln area aren't bad either and are more traditional.
Bent Tree is a links course - we left lots of natives on site, including some farming berms, that affect play. It was built on a shoestring, so I wouldn't say that would be the best course on the Brauer primer tour....... It had early maintenance issues, opening too soon, but has improved every time I stopped by. Great to read some positive opinions of it, so it must still be getting better.
This may be sacriligeous, but have you considered not playing, and simply touring all those courses mentioned in a cart for your own architectural edumacation?