From my experience, the HD Pro is pretty bad for that sound/style. Solutions I've found are to go spend the $200 on a SansAmp pedal, or if recording, look into a UAD Nigel card or spend $20 on ZombBass (if you're cool with programming MIDI for your bass). FWIW, the pedal is far superior to the plugin.

For recording, I use the tube comp on the HD500 and sometimes a mild EQ. In my DAW, I'll run two tracks. One dry with some EQ and another with the TSE BOD plugin (freeware) to dirty it up a little. On the dirty track I'll EQ some of the low end out and use it for some extra presence and midrange dirt. I then create a buss track for both bass tracks and run a compressor to glue the two tracks together.  I'm still working on getting it just right, but it might be a good starting point for home recording purposes.