One of the things that frustrates me about my own situation is that I only have Macs at work. But that doesn't deter me from trying to figure out how to use Construct 2 remotely. Recently I discovered you can set up a free Windows instance on EC2 which runs Construct 2 just fine (although it complains about older video drivers). So if you just have a Mac or you like the idea of running your whole setup remotely these instructions can get you a basic windows instance working and install a copy of Construct 2 and dropbox and you are good to go!
Given that you are basically the only user on a server that expects 1000's of hits, you can probably be able to run it 100% of the time without worrying about using it more than the free service expects.
I'm sure there are many other ways to work around this like having a windows VM, but I've had no issues with connectivity and you don't slow down your laptop running a heavy duty VM.