I am far from convinced that over-qualification is a barrier to entry here. Of my intake cohort into BA some years ago, we had several Masters degrees, a PhD, and almost everyone was established in an alternative (and often more lucrative) career before giving it up to go flying. The age spread, as the qualifications and experience levels suggest, was also wide. There are lots of reasons why an application may not be successful but age or over-qualification are unlikely to be amongst them.