If you can select a Loop-Only program on your aids, there would be no background noise since the Mic is not used at all. If you prefer to have the option of Mic then a Loop+Mic program would suffice. On my aids, I can have the Mic attenuated (currently set to -6db) which means they are quietened down, quieter than the loop pick-up coil.
I have two neckloops, a wired one which you can plug into any socket and has it’s own volume control and takes batteries.
And a Bluetooth one which I can pair to my phone, tablet, computer, etc. This is rechargeable.
This can also be wired, there’s a socket at the bottom
Obviously, the main drawback with neckloops is you won’t get stereo effect. For that you would need two separate loops, one for each ear. I’m not aware of any headphones manufactured like this so I make my own. Basically, all I did was remove the speakers from a normal pair of headphones and replace them with a coil of copper wire wound several times to the right impedance (or greater. The higher/more windings, the better the volume)