I don’t have a great answer to your question, but you might be able to find a relatively cheap car that isn’t “smart” and doesn’t have a touchscreen or anything. Do they make those anymore? Then, you could add an aftermarket stereo receiver to it, like some of the options in this video: https://www.youtube.com/watch?v=4t1GdI9UsEI
Yes, that’s still a “smart” stereo but it’s NOT connected to any of the car manufacturer’s metrics or systems, right? So the separation makes it seem more privacy-friendly to me. I could be thinking about this incorrectly, but it seems logical to me. There might be some stereo receivers that are more private than others, but you’d have to do your own research for that.
Damn, I’m looking around and don’t see any, even the cheapest Toyotas and Kias have a big touchscreen with Android and CarPlay. I’m not sure what happens if you take that out and replace it with an aftermarket receiver, but it appears to be possible because Crutchfield sells receivers for a 2024 Corolla: https://www.crutchfield.com/g_473950/Digital-Multimedia-Video-Receivers.html
I’m also seeing people online saying that there are cars made for businesses that still come with no “smart” features. But I have no clue how you would buy one of those, I doubt they have them at dealerships: https://www.reddit.com/r/whatcarshouldIbuy/comments/124n5qw/what_cars_less_than_5_years_old_are_recommended/
Or, you could just get a used car, save some money, and check all the low-tech boxes.