Take a look at winSCP, it does the same as that but is free =] (It doesn't do the mapping of the drives)
Just connect to a server, open the file in sublime (configure it in options, "editors"), then edit file away and as soon as u hit save the file is uploaded so you can see your changes live. Not only that the file is still in sublime, so make another change, save, and go see your changes again. Rinse and repeat!
All happens flawlessly in the background automagically
btw, for whoever doesn't know yet, expandrive is what used to be sftpdrive, they renamed it.