Well, since we are making new methods for 4x4, let me introduce to you...
Ok, just pretend I put an actual name here.
This is just a concept but I think it's cool
1. Solve a center.
2. Solve two adjacent centers next to the one you already made. (For example, Green and Orange.)
3. Pair up 3 edges and solve them with their corner, making a block.
4. Solve the last 3 centers.
5. Solve the rest of the edges.
6. 3x3 stage.
Pros:
Last 3 steps have better lookahead.
Reduces edge pairing to just R, U, and F moves.
Guaranteed XCross if you use CFOP or ZZ.
Rotations are almost completely unneeded for the last 3 steps.
Cons:
Lookahead can be tricky on the first few steps.
Roux doesn't really work well with this method.
Can be difficult to find the right edges to create a block.