I have experience with extremely hot environments where calibrated electronics are used for metering temperature to 177C (350.6F), 20kPSI, torque and strain too. The operation purchased high quality ICs by several thousand at a time and then we qualified them in batches in a oven while they where connected to metering/monitoring gear. The qualification/success rate of operation while in the oven was low. Those that survived went on to further testing and calibration after being mounted on a PCB by a pick and place robot. So on the extreme end that is what it is....
There is also the thermal runaway specs for semi-conductors. The ranges I have read are typically 85C (185F) for domestic gear, 115C (239F) for medical and 130-135 (266F to 275F) for a military rating. So your gear should be stable if cooling is adequate to 85C before thermal runaway commences. Thermal runaway is the point where the high temperature causes increased conduction of the electrical energy and that causes more heat to build up and then more electrons equals more heat and it escalates till the semi-conductor strata fails completely and lets the smoke out.