Scramble: R2 U2 B' F' L2 R2 F' D2 B D B2 F R' B D' F2 R2 D2 R
First, to find a solution for all corners.
At first sight, i found the following start :
R F' R2 F' orient corners,
R U2 R U2 R' U2 R2 solved all corners with 11 moves.
In the next step I try to make a few corner-edge pairs, ie changed initial step.
R F' R2 F' instead of:
R' B2 F2 R2 B' L2 B'(which gives same corners position, but solved 3 c-e pairs,
L U2 L D2 L' F2 L2 all corners, and 3 edges.
To continue I will use 2 cubes.
The first cube setting: scramble, then R' B2 F2 R2 B' L2 B' L U2 L D2 L' F2 L2
The second cube setting: z' y, (corners set to the same places)
then back to the original scramble both cubes: L2 F2 L D2 L' U2 L' B L2 B R2 F2 B2 R.
Now there is 8 corners and 3 edges same places.
I start again to solve both cubes simultaneously,
attentively looking a chance to solve more edges:
S' solve 4th edge
R' B2 F2 R2 B'
L' l' 5th edge
B'
I write this 10 moves without cube rotations:
F B'D' F2 B2 D2 B' U' D' R', will be the beginning of the solution.
U F2 continuing corners permutation
R' B F' U solve 6th edge
(U2) L' B' D U' L more 2 edges, taking care of the rest edges right orientation
F U2 B D2 B2 F L2 B F permutation ending.
I hope that's understandable,if you have any more questions, I will answer.