BT module that can stay connected but with sleep mode

[zyssai]

Hi,
I just found your github and there is a lot of information, thanks for that.
Anyway I need a BT module, and it drives me crazy, I don't find what I need.

I'm looking for a BT module with analog mono or stereo input, that can transmit to a BT receiver.
The major issue I have is that I want the module to always be connected to the receiver, but to only enter in emission mode when analog input is used, or with a switch.

This, because my receiver play another entry (let's say FM tuner), and then when analog signal comes, the receiver switches immediatly to BT signal (so no connecting time to wait).

I tried this one but unfortunality it always stays in emission mode.
I tought to a BK3266 but don't know if it has this capability.
Hope it's clear enough, any help appreciated.