Same for me with my left ear. I have big ears and have to have the earlobes pinched at the bottom but that's ok. The burning feeling always comes to the top of my left ear. Not always though. Some days it feels just fine for a long gaming session. Using hyper xcloud alpha by the way.
I can get a relief by pushing the headphones backwards a little bit and/or adjusting the headband and angle it forward or back on top of the head you know. Angle the earcups a bit.
Ever tried buying like wicked cushions big earcups? They're really deep and wide.