Can you run the golf.exe file Doc?
C: \ Program Files (x86) \ Topgolf \ WGTLauncher \ golf \ golf.exe
I did get it to come up that way. Resolution was all wrong and it took me a couple of tries to even read the settings since the window was so small (used magnifier).
Once It got the resolution set, I used your Unity Game Resize AHK to get it back to "full-size" on my external monitor.
I will probably be brave now and see if I can close this window and start it from the "Play Now" buttons!!
My "bravery" was not rewarded! I had to repeat the process described above but I should be able to play the final round (last day) of our "Bushwacker World Tour" tournament that I was leading by 1 stroke after three rounds!! Phew!!