Welcome to the Show Me state!!
As for Springfield, it is OC friendly; just make sure its not posted...there are not many places posted but just be alert. The mall is off limits for OCing. Bass Pro is fine. Last I checked, PFI was good to go too.
As for Branson....IIRC, you can OC there, but with only a valid CCW. I used to have a friend who lived down there and OC'd, but has since moved. It took him a while to educate the BPD; they were a little reluctant to accept it. Just be cautious and double check the stats for Branson...who knows, they may have gotten crazier!