Well, you can probably pre-program Tesla similarly to a shabbos elevator so it will stop and go whether you are there or not.
Note that Tesla is not supposed to be left unattended. Maybe a way out is that the driver only gets involved when there is risk to life and that becomes mutar. Then the question would be – how often one needs to get involved. Can we assume that most trips will not require intervention? depends on your route, I guess. If you are going through a neighborhood where buchrim will be jumping in front of the car shouting “shabbos” at you, you (or them) may be out of luck.