As a kid I grew up in Independence MO. We used to go out to Knob Noster to shoot and hunt on a friends farm, but there are one or two public places in the vicinity IIRC. Check the link to see if any of the 4 listed work for ya?
There's a lot of shooters in MO. Good luck on your quest.
A free people ought not only to be armed and disciplined, but they should have sufficient arms and ammunition to maintain a status of independence from any who might attempt to abuse them, which would include their own government." - George Washington, January 8, 1790, First State of the Union Address