Do any feel-like estimates take cloud cover into consideration? It doesn't seem like it, but in a high altitude desert like NM, it is a huge factor. Furthermore, the magnitude of the effect varies depending on the day of year and time of day (how much atmosphere the sun passes through), so you can't just mentally add 10 degrees or something. And it isn't just based on the immediate conditions - if it has been cloudy all morning it will feel cooler even after the sun comes out then it will if the ground has been baking in the sun all morning. Some of that is accounted for by the air temperature (conductive heating of the air by the ground), but there is also a radiative heating effect as well. I would love an app that tried to incorporate those factors into it's "feels-like" estimate.
> Do any feel-like estimates take cloud cover into consideration?
No, usually not, because they're usually just simple toys combining a heat index and wind chill scale.
There _is_ an official metric used for estimating heat stress that accounts for cloud cover - the Wet-bulb Globe Temperature (e.g. https://www.weather.gov/tsa/wbgt). This is what is used, for instance, in literature analyzing the impact that future climate change might have on heat stress and mortality risk during heat waves. It's also used by some professional sports programs to monitor risk for crowds and athletes, as well as commonly used by OSHA and other regulatory agencies looking at worker exposure to heat hazards.