Turn Bluetooth off, super effective
They were always be ways to fingerprint and active system, you can change the current characteristics that are used, but you cannot make everything the same. There will always be a difference, be it timing, be at packet signing, be it's electrical signaling, there will always be some way to infer a fingerprint of the system active on the network.
Because Bluetooth is not use constantly, it's better to turn it off when not in use, and not even worry about the fingerprinting because you're not participating