Hey Jim,
I've successfully used FLDigi using Thetis as the SDR software. You should be able to do the same with really any compatible software you'd like, eg. SDR Console, SparkSDR, etc. It's just a matter of setting up the audio input and output via Virtual Audio Cable, VB Cable, or similar software.
Which software do you want to use to operate the HL2 with? That's really the place to start. I recommend Thetis, personally, due to the many features and the UI. However, SparkSDR has PSK31 and some other digital modes built in and doesn't necessarily require integration with FLDigi (although FLDigi probably does a much better job of decoding PSK31).
Once you've chosen your software, we can discuss how to configure it it for digital modes like PSK31.
73,
Ed KS7ROH