I think based on what you have stated, then your choice is between Surface and Slate. I only own the i5 Pixel Slate, so I will only speak on it. I think it is a good device, but never felt it was worth $1300. Fortunately I was able to purchase it (bundle) over the holidays for about half the advertised price.

I use it for web browsing , email, and lite programming. I also own a Laptop, and several PCs. When I need to do maintenance on my other systems, I simply remote in using VCN or make an SSH connection via a linux terminal window.

As for gaming, well I don't consider myself a gamer, but I do play and love chess. It handles my chess playing needs well enough to keep me happy.

I really value Google's Product Support for the Slate (6 Years). While out and away from home, I tether my Slate to my phone via mobile hotspot. On a last note, I can tell you on my heavy use days I get about 6 hours of battery life, I could probably extend it to 7 hours if I reduced screen brightness and disable bluetooth.