I would stay away from burning in a tang, especially with those materials you listed. You where woried about toxic wood how about burnt plastic? To me burning in a tang is the lazy way to to go about it. Yes I know it has been done historically but it was done right. I don’t know all the details but if I remember correctly the tang hole was fitted with a core of soft wood like pine. The tang hole was shaped to almost fit the tang and then the tang was heated and driven home. So in this exzample it was a much more time intensive process then just drilling a holl and jamming a red hot tang into it. So with that said I would 100% use epoxy. I would be cautious if your going to use the HDPE as I’m not sure how well epoxy will stick to it. And when it comes to kirinite I have no comments as I do not like that material, and personally do not think it belongs any where near a knife let alone as handle material. I wish you luck, just a little tip for the future. If your considering doing somthing becaus it saves you time there is a good chance it’s not correct.