For each property displayed, you can disable/enable it with conditions.
For example:
if user is tier1 and property is within 200 miles of user’s address, enable the property.
if user is tier2 and property’s country is equal to user’s country, enable the property.
if user is tier3, enable the property.
What “enable the property” is can be anything you want. You could completely hide it, grey it out to indicate they can’t get it, or simply disable a “book it” button.