Ahem, if you actually want to learn direct3d11, the API is your framework. It's a couple of days to write an adequate rendering system yourself, so why not at least try that first. That way you'll know what's going on, it will be easier to fix/modify and, well, you'll learn a lot more.

And if you don't want to and go for a wrapper library of some sort, you'll at least know what's going on behind the scenes.