When was constantly monitoring the boiler house, combustors, and pollution controls at my last job, a $125 IR gun from Grainger worked out real well. It was simple and got good results. I even brought it home a few times to use on my car to find radiator or engine hot/cold spots. Should probably get one of those again, even if only for checking temperatures of the house walls and windows during winter.
When we did the annual plant surveys from combustors to stack we'd bring in a pro with top level gear that ran us $1,200 or so for 2 days as I recall. Cheap insurance when you're looking for problems.