I'm new to the area. I personally like Belton but most people who have lived here for longer, seem to prefer neighboring Raymore. Raymore is nice too.
You can compare Missouri schools at this website:
School Improvement Planning Profiles
Liberty and Independence are too far from Belton, IMO.
If for some reason Belton and Raymore don't do it for you, you might also consider Lee's Summit, Peculiar, Greenwood, and Lake Winnebago...maybe the northern sections of Harrisonville. All would be 30 minutes or less from Belton.