It sounds like your are asking for the ability to use LabVIEW to simulate your VHDL files. You would then use these HDL simulation results as digital test vectors for a DIO board. LabVIEW today does not natively include this capabiliity. I believe you have a few options:
1 - Many VHDL simulation software packages can be called from the command line. You could build a LabVIEW VI to call your simulation tool, run your testbench and parse the results into a digital waveform for your DIO board. NI Multisim may allow for this as well (I'm not sure, so you'll need to do some Multisim research before going this route).
3 - The HDL node available in LV FPGA allows you to synthesize custom HDL into a LV FPGA target. If you prefer the DIO board as your interface, then this would not work for you.
Based on your notes, I would look into the Digital Waveform Editor's VCD importing feature first (option 2 above).
Which DIO board are you using? And what do you use for VHDL simulation/synthesis for your test board?
-RB