You could also use FlashFXP as your FTP client and set Sublime Text as the default file editor.
This way you can edit files online, with Sublime Text. And you'd be using FlashFXP, which is the best FTP client around
But ofcourse, this is the other way around, using FlashFXP as the main prog and Sublime Text as a text editor inside FlashFXP...
Tutorial on how to change the default editor:
This one's for Notepad++, but it's the same idea.