To be perfectly honest I don't like how this is per Balmung specific only and that people suggested that this issue be taken away from General Discussion or Housing for that matter. It doesn't get this the type of attention or feedback this deserves. It's not just a Balmung issue either, as other high-population servers have been said to experience the same issues..

I just want to quote a relevant statement that Yoshi-P made during the Letter from the Producer LIVE Part XVIII.

A: We’ve been using all our energy to increase the amount of land, so we haven’t been able to touch this aspect of housing. However, with the new wards that were added, I feel that we’ve just about fulfilled the demands.

We’ll continue to add more land, but we’d like to improve the utility of each house.

However, the team that is in charge of housing, known as the Live Team, is also in charge of Free Company elements and the Gold Saucer, and they’re currently devoting all their energy to Free Company crafting and the Gold Saucer. We expect that they will be able to address this afterwards, but they will need a bit of time.
The fact is, Balmung has no free lots. This is exacerbated when you have instances where a Free Company leader will immaturely just login and like a temper tantrum throwing toddler, kicking over 80 players in the Free Company out and then sit by their lonesome in the Free Company's house.

We understand that things take time but the larger and densely populated servers need to have some sort of respite from the heavy housing demand. There are 0 plots free. Not one large in any of the wards. Not one medium. It's expected that their are no small plots but we should be able to get more wards every so months with a server like Balmung. Find some time to continue to add land, but find some way to permanently fix the issue of land being in such a high demand that no one can even attempt to get land.