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Michael J. McCasland: You may very well know some of the points I will make.I have found when shooting at long distance under conditions with mirage a spotting scope will be needed to give you the details necessary to use mirage as a indicator for sight correction. With mirage the rising air of one temperature is mixing with air of another temperature and air density is in the process of change also. From you the shooter to your target and all the ground between. As you and others have posted this condition will refract light differently.Turn your spotting scope so you are not looking at the mirage stright on but at a angle look at the detail of the mirage and the detail at points down range to your target. This distortion from the rising air and and air pressure will cause your bullet to shoot high. The conditions you talk of in your post will in exteme cases cause a bullet to shoot high over the target. My advice use a spotting scope and learn about mirage and how to use it as one tool in your bag of tricks. Point #2. As humidity goes up air density goes down. You may have read or had someone tell you different. The truth and fact is, as humidity increases air density decreases bullets will shoot high. Drier air is very dense bullet impact will be lower. Point #3. Wind value. In my view you must have wind value adjustments for both horizontal deflection and vertical deflection. The values must be broken down for all oblique angles. Not just full value and half value. The more accurate your wind deflections are the more accurate you will shoot. As the range (yardage) increases so will the need for accurate adjustments.I use a wind clock for wind value deflection and my down range accuracy has improved. Look at the details in the conditions you are shooting in. In my part of the world I shoot in heat above 100 degrees by mid afteernoon at times. The conditions we all  shoot in are minute to minute conditions. Some points that I hope will help you. I wish you the best Michael lane