3x3x3 challenge!

My method to solve with only half turns:
Do corners first in max 3 moves
Then solve all edges on white and yellow. If you get 'parity', to swap edges on UF and DF, I came up with R2 U2 L2 F2 R2 F2 U2 R2 F2 D2, but there must be a faster alg, and it swaps quite a few other edges (keeping corners solved and solving white and yellow faces though).
Then it's pretty simple. I solve all edges in the E layer with combinations of R2 U2 R2 U2 R2 U2 or R2 E2 R2 E2.
Then it's a simple combination of H perm or U2 M2 U2 M2 algs to finish the U and D layers.
Lol at how slow my method is.
 
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I've done this before. I figured it out myself, though had some trouble when I had a 3cycle on the M layer (M' U2 M U2 type-thing). I figured it out though. I'll post a video maybe this weekend if I have time.
 
Personally i didn't figured it out yet on my own how to solve the 3x3x3 with half turns. But i also tried it with 2x2x2 and that makes it very very easy :D
 
I get stuck at a point where I need to rotate 3 pieces in the equator layer counter-clockwise.

The rest of the cube is solved.
 
For a H perm I would do (R2 U2 R2 U2 R2 U2) x y R2 U2 F2 R2 U2 R2 F2 U2. I get to the point where I know its going to be a H perm if I were to solve normally, and do R2 U2 F2 R2 U2 R2 F2 U2 from the desired angle, which swaps UF - DF and FR - BR, so I don't actually encounter H perms.

I get stuck at a point where I need to rotate 3 pieces in the equator layer counter-clockwise.

The rest of the cube is solved.
I think if you were to put the solved E slice edge in the back right (in the BL/LB spot), then do z (R2 U2 R2 F2) (R2 U2 R2 F2), it would solve.
 
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