You would at some point have to involve an adapter or two.
My suggestions:
1. Turtle Beach. Buy for the mixamp, throw the headset away. The amps are totally cross platform, as long as you get one listed as such. Roughly ~$99 canadian pesos. The headset... may be nice for you or not. I personally think their headsets are trash.
2. Get something to split the HDMI off to HDMI + 3.5mm jack. From here, you could use any normal pair of headphones and just switch them. I would suggest checking AliExpress or Ebay for this kind of adapter. Something like this, perhaps. I would confirm with the seller that it outputs to 3.5mm + HDMI, however:
here.
3. I don't own a console, but.... when you say rear jack, is this on the controller or the console? Also, do you need microphone use? If so, I can see a y-split working, but if it's just one jack you'd probably need to buy a splitter as well (see aliexpress, again) so that the audio can come from the hdmi adapter and the mic can go in per usual.