It's going to get pretty hot. I would not be surprised if you see close to 300 degree temps in that box.
If you're seeing 300F heat soaking the ancillary components in your engine bay... you have a serious, serious problem and the rest of your rig is dyeing a quick, painful, violent, death... your transmission is overheating, your power steering pump hate you, you likely have coolant boiling, and I bet your shoes are melting to the floor