What I don't like with the basic idea is that 2/3 of the time, the 4c are no better than a U-perm (in movecount). But actually, there's a way to force nice cases. (Let's call it Phased COLL for now)
Here's the idea: you may find that the best 4c cases occur when edges that should be opposite...
What a wonderful edge scramble. Time for some advanced thingies.
regrip: x2 z'
edge memo: OW MV (DHZ) (EG)
corner memo: CZ IS HC QV U
Edges (I wouldn't use a floating buffer in a speedsolve):
(11) [M U M' U : M' , U2]
(8) [M' , U' R2 U] // cancellation at the beginning
(11) [z U' L' ...
I'm a moderately good speedcuber from France. I'm proficient with CFOP (although I forgot a few OLLs) and basic ZZ (no fancy last layers), and know the basics of Roux, Petrus, Heise, and a couple other nice methods. I use Yau up to 5x5, and Guimond (and sometimes Varasano /...