Same here. I actually returned my Surface 2 in favor of the new Nokia.
So get this. I go down to the Verizon Store to purchase one, After installing the sim card, the touch screen is dead, So they bring out another unit, This one the touch screen works, So I decide to take it home. I like the OP am only using the device in WiFi mode only, I actually removed the sim card after calling Verizon and disabling the device. Why pay 10.00 a month for something I am never going to use.
So anyways, I am having the exact issue with my wifi, works for maybe 5 minutes and dies. Even though it shows still connected. So all I can do is disconnect and reconnect and it works for 5 minutes.
I am so pissed off. I was on the phone with Verizon support for an hour, no fix, except take it back and get another one.
Funny reminds me of when I purchased my iPad Air 2 weeks ago. All excited, then to find out there is a nasty bug in the IOS 7 that crashes safari all the time. On the apple support forums its all over the place. IOS7 is broken, yet IOS 6 worked perfectly.
Now what?
Why did I return the Surface 2? not that I didn't like it I did, it just the Nokia is not as wide, easier to use as a tablet only device and the screen is awesome.....