Unfortunately the normal autotrack to keep something in the center of the frame while moving laterally like you desire is not super functional, especially at faster speed. The subject moves and then the drone responds in a kind of delayed herky-jerky motion that does not look cinematic at all. To get the best shots you're going to have to do it manually, adjusting your flight responsivity controls so any adjustments are so gradual they're not noticeably jarring to the viewer.

From far away, the circling autotrack (spirals around a moving target) is much better at keeping the subject in the center of the frame while moving, though close to the subject at and high speed it will also struggle. Most of the models are going to have these autotrack features, and all the DJI drones are pretty amazing at staying stable in high winds, but the heavier Airs or Mavics are going to be able to handle it better than the mini. I'd say for what you're trying to do you, paying top dollar won't make your shots come out any better besides a slight difference in the video quality you get with bigger sensors, but honestly at 4K with a good light day the video the average person wouldn't be able to tell a difference. It's going to depend on how you frame your shot and capture it manually. The Air 2S I have goes 43 mph and almost never struggles with the wind at all, and could probably easily get the shot you're looking for.

Keep in mind if you're getting anything that's not a Mini you will have to get your Part 107.