You don't say what the reason for this is, i.e., what you're doing, so just guessing... Unless you're moving around a lot, I'd stick with wired. If it's for video and you don't want the headphones look then get some decent IEMs and an extension cable, with the wires going down your back for a less obvious monitor setup. If you're using the H6 as a USB interface, you can try just changing the DAW/app's audio output to the system audio and use the Bluetooth that's probably built into the computer. There will likely be latency, but you have to decide if it matters.