new method bloble (pronounced Bl O Bl E)
1) cp block
create a 1x2x3 block and solve cp at the same time.
2) oc
orient all corners while placing the remaining equator pieces oriented correctly
3) 2nd block
using <R2,M,U> solve the second 1x2x3 block
4) edges
solve last 6 edges using <M,U>
According to your
post, (if I understood you correctly), you do step 2 by building 2 pseudo-pairs (an oriented equator edge together with any corner, but the corner is twisted in such a way that inserting the pseudo-pair with R,U into an F2L slot would orient the corner), inserting one pseudo-pair into an F2L slot and keeping one pseudo-pair on the U layer. Then you apply one of 27 short R,U algorithms to insert the second pseudo-pair into an F2L slot while orienting all corners(most of them are 7 moves I think).
If you orient the right block edges at the start of step 2, and bring them to the U and R layers, you can do step 3 with only R2 and U turns and without M turns (if the DR edge is in DF/DB you do one r2 turn in step 3). This way, steps 2 and 3 can be done with only R,r and U turns, and step 4 is pure M,U. So you don't have to switch between R,U and M,U turns, meaning that the ergonomics of the method should be pretty great imo. This would also mean that edge orientation will not change during step 3, so you can influence the edge orientation case that you solve in step 4 already with the algorithm from step 2, and avoid bad EO cases.
The turns each step can be done with are then:
CPLine: R,r,U,u,F,f
finish LB: R,r,U,u
put RB edges oriented on R and U layers: R,r,U
step 2: R,U
step 3: R2, U
L6E a+b: M,U
L6E c: M,U2
Moreover, this method is very easy. I posted an easy way to do CPLine
here (simplified CPLine from 2GR method), and already started generating the 27 algorithms for step 2 two days ago (had the same idea of doing step 2 (I called it COLine) with pseudo-pairs), and will definitely finish generating them and post them in a few days.