A better idea for a tablet keyboard

After trying a few keyboards on an 8.9 tablet, I realised that typing on a bigger tablet is a horrible experience. Swiping doesn't work because the tablet is too big to do it comfortably with one finger, I always swipe accidentally with my pinky and mess up the flow. Tapping is even slower, but maybe that's because I'm not used to it. In landscape I can't even reach the middle of the keyboard.

What I would like someone to do is make a smaller, floating keyboard. Something like swype or swiftkey, but scaled down and not stuck to one side of the screen. That would make typing on a tablet much, much more comfortable regardless of app, if you're left or right handed.