Yes in a different State will work as will different country.
Yes you can watch it in your house on a TV. I recommend the WDTV SMP unit which has a Slingplayer App built in and is connectedvia HDMI to your TV at home.
(NOTE: The new M1 and M2 are NOT compatible with the WDTV. The 350 and 500 are.
Also be careful to check you have a component output (red, green blue) on your tuner/set top box.