I tried a few when I had my GS but kept coming back to tourances, they seemed to offer the best mix of mileage (6K back, 8-10K front) and stickyness.
That was a few years back though and the tyre game has moved on a bit in the last 4 years.
I found Roadsmarts worked well on the TDM but like all road tyres they
have a shallower tread pattern compared with dual sport tyres and only lasted about 3k and 5K.
If you only do a couple of K a year that won't matter, but since when have GS's done tiny miles like that?