OverEar Headphone Helmet

I would like to use my $500 over ear headphones on the bike as I commute. But that is incompatible with using a helmet. So surely there is a helmet that can have a recessed part that accommodates the band of the over ear headphones. Perhaps you can add a strap to keep it place if needed. It can either sit on the inside (i.e. there’s a recess for the headband and allowances in the straps) or on top.