You could give a very specific set of criteria to a real estate agent and I'm sure they would be willing to do so, but it makes very little sense unless you are exceptionally wealthy and can create your own 'compound' or have very unusual specifications for your lifestyle.
Your statement that any western state would be possible seems odd as states have very different tax implications (for example Alaska, Nevada, South Dakota, Texas and Wyoming all have no state income tax). Generally, people who don't care about these things have so much wealth they can have their financial accountant play with the numbers for their benefit.
The reason location is generally more important to people is because of these type of variables:
type of neighbors and schools
levels of security (crime rates)
avoidance of nuisances (traffic: auto /air / train / industry)
avoiding long commutes
A few examples I can think of is when a wealthy person wants a second home, but, even they usually have environment / climate based location requirements, rather than just the built residential structure.
Another would be someone who wants an already built specific non traditional house, say, net zero energy or a sphere i.e. it's more a lifestyle / social reason.
Case Studies - Zero Energy Project
https://www.designwanted.today/archi...homes-skydome/
Monolithic Homes: New Developments | Monolithic Dome Institute
Otherwise, it is always best to field survey living in an area to experience the daily, weekly, seasonal cycles along with the types of neighbors to determine how well they may enjoy being in the neighborhood before purchasing - what is for most people - their largest fixed non liquid asset.