I have not played Wichita, but I have played in Emporia and Kansas City. Waterworks in Kansas City would be the top choice. Waterworks is 6th on the list of "Most Favorite" courses on DGCR.
But, if you have your heart set on Emporia, Eagle Olpe would get my vote. Peter Pan is the funnest course and Jones has two 18 hole courses. However, these are in regular city parks. Olpe is in a large regional park with a more natural setting around the lake. Be prepared to lose discs in the water hazards at Eagle Olpe.
To be clear, Waterworks (in KC) is also in a traditional city park, but it has a ton of elevation and challenges not found on the flatter courses around Emporia. There are no water hazards at Waterworks.