I sold my house in Colorado Springs, CO in June of 2018 to move to Lompoc/Santa Maria, CA. Spent 2 years looking for a house in the local area, but I kept refusing to buy small old houses for $1/2Mil or new tiny houses for $3/4Mil and then paying $6K/year for taxes. Quick note about the housing market in that area, most were in some sort of pre-foreclosure stage.
Came back to Colorado Springs just to find out that the housing market was getting as crazy as CA. The house that I sold in 2018, after 2 years, went up $200K. One of the differences between CA and CO, is that you get more house, more land, and pay almost 1/2 in property taxes in CO.
But to my point, and in my case, I did not see and have not seen a "limited supply" in housing, here in the Springs or in Lompoc/Santa Maria area in CA. Supply is there, the value the housing market is imposing on houses is what's keeping me away from buying right now. Luckily, now I'm living inside the Air Force Academy where my commute is only 5min. ;-) and I can take my time finding the perfect home/GTR :D
A $3-4 mil house in CA would be closer to $40-50k per year in taxes. But yeah, I almost took a transfer to the Denver area. Was all excited to use my Cali house money and live like a king. Nope, while not quite as bad, it's gotten really expensive there.
For the OP, the miles are what is killing you. Yeah it's really not too many for a GTR, but everyone likes to talk about how miles don't matter that much, but in the end, it's a huge deal. When I bought my 17 I wouldn't even consider anything over 10k miles and mods were a no-no also.