How about this: crank up the taxes on houses people don't live in. Make owning empty real estate so unprofitable that it's better to rent it out cheap than to try to screw renters.
Fwiw in Florida we have what's called a homestead exemption. You get a big slice of your property value axed for taxation purposes if you live in the home. You have to pay full tax on any other properties. I believe tax rate increases are capped for homes with the exemption as well, but that might be for all homes. I don't remember exactly.
I want to see an exponential property tax so you could have a house and something like a small cabin somewhere but anything more and then your tax multiplier is based on how many properties you own, you'd have to control for businesses trying to own property in an employee's name, this might even help with large chain businesses not becoming a monopoly but hard to say if that's a huge benefit or a monkey paw type thing