I've done it with a little one-looking, I'll try to explain it:
(I'm not sure about the notation, but I think you will get the idea with the algs.)
The one-looking part is, that you will normally get all corners in their correct place with only one turn (sometimes you will need two turns, then it's harder).
I one-look this turn and start with it at the begin of the solve.
Then I orientate the corners with e.g. (L F R) *3. That turns 3 corners counterclockwise (found that alg last summer). I "pair" the corners useful while memorizing to avoid a lot of setup-moves (or skewb-rotating). If you turn B after the alg and reverse it (+ B'), you will have only 2 corners twisted, one cw and the other ccw. You can also do: (L F' L' F) *2 x (L F' L' F) *2 x'
Next are the centers with an alg that I found in a tutorial and that I'm using for sighted solves, too:
B' R B R' x2 B' R B R' (x2)
It cycles three centers and you will need only 1-move-setups (+ skewb-rotations).
OK, the one-look-part is not a system, but it is surely easier to one-look one turn than to one-look a layer. I'm really bad in one-looking even only for one turn, but it worked for me. And it is a slowcuber-method: not very fast but quite easy to learn - perfect, if you just want to have a success.