Another option is to obtain an EU PPL which can be easily converted to a standard US private without doing a practical test with a US examiner. The abbreviated PEP knowledge test, as well as a flight review with a US instructor, must both be done before applying. That will avoid needing to apply for a US student visa. If no training needs to be done with a US instructor before the flight review, then you needn't apply for a TSA security threat assessment either.