I used to game using my surface pro and steam home streaming, but i found the connection via steam far less dependable than the shield tv. I have a netgear nighthawk modem and with the shield I played for about 3 hours last night without a single hitch. The quality was 1080 @60fps with just about zero noticeable latency, I really am impressed with the whole thing.
I'm not a big fan of the nvidia controller tho so I use my xbox 360 controller which is hooked up to my pc in the other room, I am close enough that the signal will reach to my room. Otherwise the nvidia controller works fine with xpadder.
I can post an example of my xpadder setup later tonight when I get home. It's really basic and kind of unoptimized but for doing story quests its adequate.
Also, I don't add swtor to my nvidia games list, I launch my desktop via C:\Windows\system32\mstsc.exe and open the game in windowed mode, it's a lot easier to set up that way.