So, I made a macro program...

[AlexSkylark]

OK, in essence, what it does is keep spamming the "numpad 0" button over and over forever on end. With this, you'll be able to hammer the login server for hours if need be. Usage is simple: press CTRL+Z to enable the script, CTRL+Z again disables it.

The best part is that it sends the key event directly to the FF14 window, meaning it'll keep sending keystrokes there even if you're alt+tabbed running another game or browsing the forums...

This is the script source code. You'll need the AUTOHOTKEY software to run it:

http://www.autohotkey.com

After installing, create a blank file called something.ahk (or whatever name you want to call it, with the AHK extension). Open it up on notepad or something and paste the following code:

#NoEnv  ; Recommended for performance and compatibility with future AutoHotkey releases.
; #Warn  ; Enable warnings to assist with detecting common errors.
SendMode Input  ; Recommended for new scripts due to its superior speed and reliability.
SetWorkingDir %A_ScriptDir%  ; Ensures a consistent starting directory.

flKeepLooping := 0

Loop {
    if (flKeepLooping = 1) {        
	ControlSend, , {Numpad0}, ahk_class FFXIVGAME
        Sleep 500
    }
}

^z::
if flKeepLooping = 1
    flKeepLooping = 0
else
    flKeepLooping = 1
return

Now, if you don't want to go through all the hassle, I compiled an executable version of the script as an EXE file. just run it, it'll put an icon in your taskbar and you're good to go:
https://www.dropbox.com/s/foel9pge9c...LoginFFXIV.exe

So, there you are. Me and my lil' community on Behemoth are using this thingie since last wednesday, so I guess it's well beta-tested now. Have fun =)