You should probably open up computer's case immediately and check SWING's temperatures, ideally with an IR thermometer or simply put your hand on top/bottom/sides. Of course, a digital multi-meter with temperature sensor should do very well here, just place the sensor inside (use scotch tape to get it stick to the SWING) and leave the cable out and connected to the DMM; don't forget to close the case gently, without breaking sensor's cable!
If SWING is on top of BANG, then you should leave some space between those (1 unit, if possible) or be sure you have a good ventilation inside the case, ideally would be positive ventilation (more intake than outake). Also, if using 4-Ohms speakers, maybe it you could just leave BANG out of your computer. In my review here
https://www.head-fi.org/showcase/burson-audio-bang.23274/reviews?page=2#review-20790 I was able to fit PLAY and BANG inside the same computer case and the temps were actually lower inside the case than outside, on the desk. Of course, the cooling system of this specific workstation is not a regular one, so this helped a lot; although, notice that there is one unit distance between PLAY and BANG to allow proper ventilation!