With a good bit of help, and an ungodly amount of work and time, I have an entire spreadsheet of every L4E+C INCLUDING an alg case reference image!
I still have some work to do it shuffling around the cases so that all the mirrors are next to each other and labeled as such (since mirrored algs are going to be trivial and the obvious choice), and with that done I'll number all the cases proper. That will be good as well because it means there's going to be a lot less cases than the 131 on the sheet.
And it turns out that yes, there's 131 cases (including mirrors) that average out to about 7 moves when picking the shortest alg. Super reasonable for a speed method!
Anyway the sheet is done to the degree it is, and if anyone wants to look for good algs you can feel free to comment in the cell of any good one you find. Shouldn't even need a master pyraminx since it can work on a regular pyraminx too. I would really love the help!
Did a quick thing! Just a little derp to show off the method where it's currently at, and get a quick idea about it.
Also, I've fully finished setting up my alg sheet- including pairing every mirror together! In total excluding mirrors, there are 69 (nice) L4E+C cases that exist. Now I just need to find solutions, and pair up existing good pyraminx algs!