Go to logmein.com
You install it on your PC and you can access your PC anywhere from a web browser. It's free to boot!!
Have you tried LOGMEIN on your surface browser....it is painfully slow, and the screen flickers whenever you move the mouse to click something. I am having similar issues - if someone can help set up static ip on Linksys router, so that i can remote into my computer with my surface it would be greatly appreciated.
I found a post on XDA that people got remote apps working (note - i am asking for help there too)
[GUIDE] RemoteApps Desktop Apps - xda-developers ..........this is really what i want to do. If i can get it working, and it is usable, id like to keep the smaller, and lighter surface RT. If not, i guess ill have to return and get the larger, heavier, bulkier, and less battery life surface pro with x86 intel processor. I really want to get it to work, because ideally i would like to no longer buy laptops, i want a desktop, and a surface tablet to remote control my desktop when away. I can get another year out of my laptop, but would like to get it working before my 14 day window of return at MS store.
Thanks,