I like the idea but maybe change gil to "housing tokens".

You buy your house, and you get your fortnightly token from a vendor (at no charge. They provide you with a free token because Ul'dah/Limsa/Gridania thought it suitable for the Warrior of Light). You then trade that token to another vendor as payment and secure the house.

This way it doesn't cost anything, people can't complain and they're still activating their house very two weeks.