Looking for a supra-aural headset for binaural recording

Hello all,

I'm interested in recording binaural sound, preferably through my iPhone, but I'm open to all suggestions.
I wear hearing aids and all binaural microphones I come across are in-hear headsets or integrated in earbuds and this kind of design is not compatible with hearing aids. So, do you know of headsets which would have a supra-aural (or over-hear) design, something which would have a neckband or a headband?

Thanks a lot.

Sof