I say stop looking for ways to circumvent policy. The policy was put in place to prevent certain activities. If you can find another way to do those activities it doesn't make those activities OK again.
If your place of work is anything like mine, you're using their keyboard and mouse to interact with their computer to communicate over their network. I think you probably shouldn't participate in activities they don't approve of while on the clock and using their equipment.
Personally, I use my phone to circumvent policy. It's not their equipment and it doesn't use their network although I am using it on company time which doesn't necessarily impact my productivity if I'm waiting for a server to reboot before I can log into it again.