Bluetooth headset that won't buzz when idle too long?

I like listening to audio before I go to sleep. Like a bedtime story.

But then after I fall asleep, the bluetooth headset will eventually disconnect from the computer after the audio is done and will give an annoying buzz saying that the headset is not connected to anything which will wake me up. Have to use a headset because I have neighbors in the apartment. Wired earbuds tend to fall out/yank out as I move in the night which wakes me up

It would be great if there was some product or clever solution that would avoid this without me having to move.

"just take the headset off" Well that's the point- I find that I am either asleep or very close to it and my experience has been even small movements/sounds can ruin that state and make it take alot longer to fall asleep after. It's like it resets the progress towards falling asleep

If there isn't a product that does this, what is the next best solution?

So there's really a few problems, the "Power Off" noise when I turn off the headset which resets my progress to falling asleep, the act of physically taking off the headset, and the buzzing sound after a while if I keep the headset on

 

Loop an extra audio file in the background with volume set to 1%. You won't hear anything, but the connection won't turn off.

Battery life could be a problem though.