@xtrdr OpenFlexure microcopes have been used for cell studies in incubators. @quigly posted some of his experiences on microscopes in incubators for mammalian cells: USB Webcam Lens Spacers and Camera Platforms - #8 by quigly.
I am starting some tests with a cell biology colleague to see where failure modes are in the incubator environment, and whether PET filament stands up better to the temperature.
If you can manage with the equivalent of a 20x objective, and if you don’t need to move the field of view once you have set up a culture, then it is likely that you will not actually need motorisation, and you could even use a USB camera option. The images are not quite as nice, but the system is simpler if you want to run many microscopes at once.
For timelapse image capture or automated motion there is a Blockly scripting app available, or full remote operation through Python.