Perhaps a meridian flip (rotate the mount when the target passes the meridian) would solve your problems. I can’t speak for star trackers such as the Star Adventurer, but in equatorial mounts you can fully automate the process by software: the mount follows the target until it’s time to do the meridian flip, then turns the mount, platesolves and resume imaging.
I don’t know if the ASIAir is capable of doing so. I suppose
If you need to do it manually, any planetarium software (Stellarium or CdC) will predict the exact time of the meridian pass of any object.