Hey Yeetstick!
Here is the current schedule of the game:
The Alpha build of a new version is released at the start of each month. About a week later the Beta build is released. Then after another week the Early Access version is released. Then about a month later this version goes free and public. This is the Patreon schedule, so it gets released a tiny bit later on other sites.
As for how many updates remain for AHITR, I honestly couldn't say. We are currently on 7.13 so we do have a bit to go.