I want to preface this proposed synthesis of two methods by saying 1. I haven't been cubing long and 2. I primarily solve using Roux but SUCK at block building. I only have a PB of 30 seconds and average of 10 is generally around 40 seconds. In my 40 second solves a full 30 seconds is used for building the F2B which is quite frustrating for me since the rest of my solve is much more fluid and quick. Here is what I've come up with to help reduce my times/improve the F2B. So far I have reduced my F2B to 23 seconds but my overall times have gone up since I switched to COLL from CMLL and my execution isn't quite there.
Method: Roux and ZZ synthesis (RouxZZ if it needs a name
Step 1: Use inspection time to locate bad edges
Step 2: EO (edge orientation) + line except place the line pieces at DL and DR instead of DF and DB for ZZ.
-advantage: allows solving of F2B like ZZ F2L with no cube rotations and helps a bad block builder like me recognize pairs. Since all edges are oriented there are only specific cases/locations on the cube where edges can pair up. Additionally, in contrast to Roux this allows both the R and L blocks to be solved simultaneously which increases the chances you can find a good pair. For the second 1x2x3 block it allows you to easily solve U layer corner pieces with the D stick facing up which is harder to do in standard Roux.
-disadvantage: F, B, and M slice now have restricted movement unless its an F2, B2, or M2. But this can also be an advantage i.e. edge piece you want to pair is on D layer, since all edges are oriented you know without having to think that you have to pair with its corner piece diagonally up in the U layer w/ an M2
Step 2 alternative: just EO without placing the line.
-advantage: this allows for solving the F2B more like Roux was intended to be solved, L or R 1x2x3 block first then the other. Corner edge pairs, an edge paired with the center sticker, and corner paired with DL/DR are all viable block building options. Focus for look ahead can be geared towards a smaller set of pieces.
-disadvantage: Reduced to doing one 1x2x3 block then the other. If necessary for block building restricted to F2, B2, M2, r/r'2, and l/l'2
Step 3: F2B/ZZ F2L whichever step 2 you pick
Step 4: U layer corners solved using COLL to maintain proper edge orientation
-advantage: forces initial step 5 skip in Roux (in regular Roux this is would be a step 4a skip) since your edges are already oriented
Step 5 (just finish solving Roux style): Solve UL and UR edges to complete L and R sides, permute the rest of the M slice aaaaaaand your done.
Let me know what you guys think, I'm interested to hear more seasoned cubers take on this. Still not fully used to all the notation so hopefully you can all follow this. I haven't done a move count to see how it actually compares to Roux, but to me the real advantage is easier F2B since all the edges are oriented, the step 4a skip is a nice addition. Even if its not viable as a speed solving method I enjoy it cause I can actually look ahead much better vs standard Roux.
PS- In case they are on here, just wanted to say thanks to Waffle and Donovan for their Roux tutorials and to Phil for his ZZ tutorial!