Hey, cool to have a thread I can actually feel like a reputable source of information for.
-KC has the Negro Leagues Museum, which is outstanding for visiting.
-You mentioned the Jazz Museum which I've heard is impressive.
-The Nelson Art Gallery isn't anything spectacular, but if you're into art, then I'd recommend going there.
-Also, KC has the best BBQ anywhere (this is naturally my opinion, being a KC native). Jack Stack's is the place to go.
-It's nice to spend a day walking around the plaza, so you might consider that as well.
-In Missouri about 30 minutes away from KC, there is an amusement park called World's o' Fun. It's kind of small, but they've got some great rides.
-I'm not exactly sure, but there might be some NCAA Tournament games being played here. I'm not positive about that though. Also, tickets wouldn't be easy to get.
If I think of anything else, I'll edit this post. It'd be cool to meet up, maybe we could arrange something! I hope this helped and enjoy your time here. ^__^