SE spams pretty much every populated server with rewards notices to move, and the ones that have the biggest issues tend to be nearly impossible to get into regardless. This is the message I see every day when I log in and multiple times until I log out.
[8:07]Welcome to Balmung!
[8:07]Welcome to FINAL FANTASY XIV!
[8:07]* Balmung is categorized as a Congested World:
https://sqex.to/6AC
[8:07]* Bonus incentives are in place for those who transfer from a Congested World to a New/Preferred World.
[8:07]* Incentives include: FREE World Transfer, increased amount of gil that can be transferred, and items you can exchange for rare mounts!
https://sqex.to/Sn9
Short of slapping a 'you can't have housing if you go to these servers because we didn't think this system through in any capacity' warning over the server list upon character creation, there isn't much else you can do. Besides quite frankly housing is really the only issue - now that Balmung is locked down and no longer threatening to implode - I have with higher population servers and that's a situation purely of SE's making and personally not worth transferring over. Though your mileage might vary.