I have the SGS TVC-GSU-12 (which is made for any PWM based receiver, I think -11 is only for the Tamiya DMD) and I can confirm it is expensive and really it is meant to be used as a turret control board rather than just a stabilizer. In addition to stabilization, you can have it control recoil, it has auto loader functions, a function to set back deck height with a sensor, it can control flash, and if you use it with SGS’s MFU you can have it control a weapons station and a periscope as well. It can also handle up to to 24v, which is useful for my 1/8 scale model.
I am using this in my 1/8 scale Abrams, with and OpenPanzer MFU and you can see it in action in these two videos:
https://youtu.be/r_ZiBfBHrcE?si=VDUizXpgE_l8TWSZ
https://youtu.be/DJX6YsUvGV8?si=Rwy9ptWqnJEwLLYm
While I have used it in a 1/16 scale model, it is a bit overkill if you just want stabilization in a 1/16 scale model.
Although I have not installed them, I have purchased a couple of the gun stabilization units mentioned in the post above. From what I can remember looking at them before, they can be used with any model that has servo elevation and either servo or motor traverse. There wasn’t any kind proprietary hook up that was needed. I believe the TK7.1 has a plug that can be used to turn this unit on and off.
These are much cheaper than the TVC-GSU-12, and seems very plug and play friendly, just need a servo for elevation, motor or servo for traverse, and power to power the unit. Maybe it has a servo output to connect to a PWM based RX so you can use a 3 position switch to control it?