You’ve no doubt already figured this out, but for anyone reading this thread in the future, I’d recommend getting a virtual private server via Digital Ocean. With a VPS, you have sudo access, so you can install FTP, SSH, MySQL, or whatever else you want, provided you’re comfortable entering a couple of commands on the command line. You can even get a whole LAMP setup pre-installed, although only with Ubuntu 14.04. Boxes start at $5 a month, and they’re super fast (SSDs).
There’s also AWS, and you get a year free there, but it may end up costing more depending on your usage, and the control panel is definitely more complicated.
