Sounds like a great way to import rich people and exploit poor people by capping their level of home value.
Thanks for all that hard work on the house, sorry it's getting repo'd and auctioned. Next time, don't try to make a place to live so high quality!
Property tax should be paid on square footage of the boundaries. Impose a property sales tax with progressive residency penalties or some other extractive mechanism, but have the common decency to let people invest in and improve their own homes.