I tried interfacing my PC directly to my radio via USB cable to get CAT and therefore automatic QSY capability, but no luck.
I went back to my original setup with a RigBlaster Advantage between the PC and TS-590. Later I was was reading the RigBlaster manual and may have found a clue.
It said for FSK operation, I had to go beyond the basic configuration (which I was using) and also use an RS-232 cable between the radio and RibBlaster.
I never used an RS-232 cable for digital operation with my TS-590 and I didn't have a cable on hand, so I ordered one. I will try again to set up CAT when it arrives.
Despite not having FSK capability, I used my radio's two VFOs and programmed the calling frequency in VFO A and a slot frequency in VFO B. After calling CQ, I pressed the VFO button to QSY.
Using this method I had a successful VarAC QSO on Friday evening.
73
Brian