[uesyuu]

1st solution: F R F2 D B D' F2 D B' L2 D' R2 D L2 F' D' F' L B' D2 B F' D F D2 L2 D L2 D2 L' (30moves)

Spoiler (Click to View)

2x2x2: F R' * D F' D' F'
2x2x3: L B' D2 B
F2L-1: F' D F D2 L2 D L
L4C: L D2 L'

Insert at *: @ R2 D L2 D' R2 D L2 D'
Insert at @: F2 D B D' F2 D B' D'

it's not optimal.
optimal insertion gives me 29moves...

2nd solution: F2 L2 F' U L U2 L' D L U2 R' B R B2 D2 B R' D U' L U R' U' L' U B2 D B U' B U (31moves)

Spoiler (Click to View)

2x2x2: F2 L2 F' U * D L
more square: R' B R B2 D2 B
more square: R' D @ R'
L4C: B2 D B U' B U

Insert at *: L U2 L' D L U2 L' D'
Insert at @: U' L U R' U' L' U R

optimal insertion is 30moves.


After 1 hour, I found another skeleton.
(Inverse)
2x2x2: L' D U L' B L2
switch and F2L-1 with Premove B2 R2: U B U' R
All but 2C2E: U' B U' B'

skeleton: U B U' R U' B U' B R2 L2 B' L U' D' L *

Insert at *: F' L U L' U B2 D' R D B2 U2 F

final solution: U B U' R U' B U' B R2 L2 B' L U' D' L F' L U L' U B2 D' R D B2 U2 F (27moves)

I think this 2x2x2 solution has huge possibility, but I couldn't find any better solution to use it in 1 hour.