Well I,ve done it and it works a treat. Got rid of the tree hanging wired headphones on my GB pro. Some pics attached.
You need bluetooth 5.0 for both transmitter and headphones. And you need to ensure both have aptxLL codec (low latency) so t
here is no delay or lag when you are sweeping. Cheapest good pair of HD phones are the panasonics I got off trademe. The transmitter/receiver i got off Alixpress for about $35. A couple of 3/4" spring clamps and velcro and 3.5mm audio connector will finish the job. All up, under $200.