I have been programming CC3200 using code composer studio. I know how to run the debugger on my device and run the the code successfully. But I can't figure out how to burn the code on my device so I can use the device independently.
I would suggest using UniFlash. There is a tutorial online that shows you how to do it.
I believe you have to flash the program's .bin file. For example, the blinky application will have a file called blinky.bin, and this will be flashed onto the board via a selection on the UniFlash application. It is a url parameter than you can browse and modify in the UniFlash program. Good luck!
Use UniFlash, in release folder you will find a .bin file ( with the same name of your APP) and select ERASE and UPDATE and VERIFY, then connect cc3200 and go to System files ( /sys/mcuimg.bin ) , browse you .bin and after back to main screen in Uniflash and click Format and after Program, and VOILA