Measurement Computing (formerly Computerboards) makes a product called Universal Library for Labview. With the VIs that ship with this library, you can use your Computerboards hardware with Labview. However, I would strongly recommend using National Instruments hardware for anything more than simple polling. There are shipping examples with Labview that will perform the triggered, single buffered acquisition that your application requires. Unfortunately, those examples are not going to work with the Computerboards hardware.
Best of luck,
Steve. M