X2go is super easy to use, pretty much install and go. You need a client, I've used the linux and windows client. Both work well. I think you can make their python client work without windows admin rights, but it's been awhile since I tried that.

I browse websites with it, and unless it's very image heavy, it's as smooth as a local browser. If you have large images, scrolling can get choppy. Same with videos, they can be choppy.