Later ..I just realised I overlooked the reason/purpose behind your request. I just looked up the BT2 too.
Adding an amplification system of any type to an acoustic bodied guitar including the easy alternative of a soundhole pickup with external lead and jack regardless of what you input it to won't lower the acoustic volume of your guitar, and so not acomplish the solution you're seeking to its acoustic noise disturbing the family problem.
Headphones are a silent practice solution for solid body electrics, but not for acoustics.