OP, I think your best chance of getting a house right now without click spamming placards is by moving to another datacenter. Aether and Primal have consistently been full and low on housing compared to Crystal. I have a toon on Gilgamesh & on Famfrit and I check housing as I log on, even Famfrit which is a preferred world has had 1-3 vacancies only and they do get camped. I only got a house because the person camping with me quit and went to sleep. The housing system really is a mess. The RNG with placards, the relocation sales so you can get specific plots, and the system for FC housing where people just buy multiple FCs all have to be addressed. Solutions other than instanced housing would be:
1. Improve already existing apartment system - include a balcony for garden plots and it's basically the same functionality as a small house
2. Disable relocation or change the way relocation works so people don't use it for malicious purposes to reset timers or for "sale" on Reddit / discord / outside of the game
3. Limit FC housing ownership to 1 per account like personal housing. Take away houses from people who are using loopholes to acquire 2 or more houses.