[Question] Can I use remote play at work?

I work in a high school, and there is a great amount of downtime in the summer. Obviously, remote play is blocked, but I have a Vita and a will to figure it out. And, of course, I have this sub. Any chances someone can give me some direction on how to get remote play working on my school's wifi?

A little info... I do have to have login credentials to get any wireless device online. Does Vita even support that? Any help is appreciated. Thanks!