Funny question and the way you asked it, shows some sort of rationalization.
That is, they could find temps you use. Of course they can. But is that what they do, is another and better question.
You do understand, each and every year, is somewhat different. That is, this year, its still friggin cold(for us) and its friggin may.
Females normally start laying in May, and continue until Sept. Hatchlings appear in august until late Nov. This information was taken from a comunial nest, at 6000ft.
Now consider, they nest at elevations near me, from 4500 ft to well over 8000 ft.
In really all cases, even at different elevations and way different ambient temps, they still reproduce at nearly the same time periods.
So to answer your question, at the higher elevations, ground temps are still in the 40's in many areas, and 60's in areas in the lower elevations. Mind you, thats not surface temps. THese are temps where there ARE PYROS living.
So I do imagine, somewhere at some elevation and in some of the many mountian ranges, there are temps as you WANT.
But, in reality, the nesting areas, are a bit different, the temps fluxate more, they seem very dry. Cool to cold at night and very hot in the day.
I am not experienced with all species of montane kings, but I am familiar with a few. For instance, pyros like to comunnial nest. While thayeri do not. I have seen many nests of each and thats what I found.
I assume that can change with location and condition.
With Greeri and ruthies, I have seen only single clutches, once two clutches of greers in one spot. But I do not have enough experience there to really say.
With that said, the last ten years have been drought years(S.Ariz) and reproduction has dropped considerably.
So the reality is, sites do vary in temps and slope and elevation. But are within a range that females can use behavior to adjust. Deeper, if its hotter and dryer, closer to the surface if its cooler and humid.
You should also understand that surface temps, wave downwards. That is, if the surface temps are 120F at 3:30pm, they radiate into the mass. So where the eggs are, increases its temps in the middle of the night, and then drop hitting their lowest by mid-day.
And man do they have a huge range of temps. Found eggs in the forties and in the high 90'sF
But thats not our worry is it?