Having worked for American Airlines for a number of years, and working closely with immigration, I would strongly recommend that you obtain a Student Visa. If you are embarking on a course of study, then to go into the US on a recreational visa could possibly cause you problems. I say possibly, but it is worth considering the implications. If there is an anomaly in your visa, and IF you get deported, then re-entering the US may be difficult in the future. It is a bit of hassle getting the bit of required paper. But it is worth it - as is travel insurance! (With additional premium paid to cover flying GA aircraft as Pilot) It is much better to do this, and then, once you have the prized PPL, go and hours build. For this you require NO visa, as a flying holiday does not constitute a course of study.
Hope that helps.
Tailwinds