The GH60 has the AVR ATmega32u4 8-bit microcontroller. There is a keyboard firmware called ps2avr for that microcontroller series that contains code for speaking PS/2. You could perhaps modify that to fit the GH60's matrix -- and then load it to the keyboard over USB.
The ATmega32u4 does however not have hardware support for using the same pins for PS/2 and USB. The GH60 should have a header that were intended for an optional numpad - and there might be pins there that you could use.
Anyway... That PS/2 would be faster than USB or that USB would not support full NKRO are myths. There are quirks in how many operating systems handle USB for sure, but the keyboard enthusiast community have found ways around them. TMK and Kiibohd (and I think also QMK) firmwares should work fine and support full NKRO on Windows, Linux and MacOS. So I personally don't see any reason to make a GH60 talk PS/2 other than as a fun project.