Depending on which part of the state you live in. Kansas does NOT recognize Non-Resident permits.
So you could not carry in Kansas if you live on the West side of MO.
All states' CCW permits are valid in MO regardless of your state of residence (MO included). However, if you can get a MO CCW, it will provide you better Link Removed with other states than either FL or UT, with the exception of Wyoming (get a PA nonresident permit ($25 for 5 years) to cover you in WY).