Hi Vince,
The driver you downloaded from NI only applies to the NI USB-232 and USB-485 adapters, and it does not detect 3rd party hardware. Unfortunately I don't know whether the Radio Shack adapter will work without updates, so you may need to contact their tech support.
Since you can not get the hardware to work with comm programs outside of LabVIEW, it is pretty safe to rule that out of the equation. It really sounds like you have either a device configuration issue (baud rate, etc.), or a driver compatibility issue.