I hope I do this right...
R' F U' R2 U F' R
rf 7C 4R rd. 7Q 4D rf // original(I think) rf 7C 4R rd, 7Q, 7M rf
I've experimented with loads of ways to do this (inc. yours): R2' instead of R2, a plethora of different fingertricks for the F', different starting positions, OH pushes etc. I have found that my current version is the best for me.Personally I do the F' R with one motion of my right thumb (after doing the U with a left-index push).
Sameer's word is probably more useful than mine, but there's an alternative