Installing Unity Portably on a USB stick for use on Different Computers

I want to try and install Unity on a USB so that I can take it into school and work on my projects there, which I've done partially though it didn't really work out. What I already tried doing was selecting my USB as the install location for the application. Doing it like this I could use Unity normally using the USB with the computer I installed it on, however when using it on other computers I could only use the Editor, and I couldn't edit any of the scripts on a project on the USB, though I could edit the same scripts using the original computer.

So is there a way where I can also install a scripting environment on the USB too so I can edit my scripts on any computer I want to. I don't have that much extensive knowledge of IDEs and .dll-s so any help would be appreciated.

(I'm also coding in C# and Sharpdevelop 4.4 is installed on the school computers, although I don't know if that will support the version of C# Unity uses.)