Below is a list of the piece-solving combinations that I could think of for 2-look LS+LL. There is a CFOP list and a ZZ list (which doesn't include EO because it's already done)
Combinations such as corner+ep edge+co+cp are missing because solving ep/cp before the edge/corner (respectively) would result in also solving the edge/corner, being equivalent to an earlier combination
Note that it does not include 3-look methods such as MGLS or "JSF2L".
I'm by no means claiming that this is an exhaustive list. If I have any naming mistakes or combinations that should be added please inform me.
As a result, I do not think there exist any valuable 2-look LS+LL methods, and by extension alternative 3-look LS+LL methods (alternative to LS+OLL+PLL or LS+CLL+ELL. LS+OLLCP+EPLL is iffy). The only one which I think is even close to decent is ZZ+WV+PLL, but I don't think that ZZ is worthwhile.
Code:
edge+corner eo+co+ep+cp = F2L + 1LLL
edge+corner+eo co+ep+cp = ZBF2L + ZBLL
edge+corner+co eo+ep+cp = WV + COALL
edge+corner+ep eo+co+cp = ? + ?
edge+corner+cp eo+co+ep = ? + ?
edge+corner+eo+co ep+cp = LSOLL(lol) + PLL
edge+corner+ep+cp eo+co = LSPLL(lol) + pure OLL(lol)
edge+corner+eo+ep co+cp = LSELL(lol) + L4C
edge+corner+co+cp eo+ep = LSCLL(lol) + ELL
edge+corner+eo+cp ep+co = ? + 2GLL
edge+corner+co+ep eo+cp = ? + ?
edge+eo+ep corner+co+cp = ? + ?
edge+eo+co corner+ep+cp = ? + ?
corner+co+cp edge+eo+ep = ? + ?
corner+co+eo edge+ep+cp = ? + ?
with ZZ
edge+corner co+ep+cp = F2L + ZBLL
edge+corner+co ep+cp = WV + PLL
edge+corner+ep co+cp = ? + L4C
edge+corner+cp co+ep = ? + 2GLL
edge+corner+ep+cp co = LSPLL(lol) + CO
edge+corner+co+cp ep = LSCOLL(lol) + EPLL
edge+corner+co+ep cp = ? + CPLL
edge+ep corner+co+cp = ? + ?
edge+co corner+ep+cp = ? + ?
corner+co+cp edge+ep = ? + ?
corner+co edge+cp+ep = CLS + ?
I'm by no means claiming that this is an exhaustive list. If I have any naming mistakes or combinations that should be added please inform me.
As a result, I do not think there exist any valuable 2-look LS+LL methods, and by extension alternative 3-look LS+LL methods (alternative to LS+OLL+PLL or LS+CLL+ELL. LS+OLLCP+EPLL is iffy). The only one which I think is even close to decent is ZZ+WV+PLL, but I don't think that ZZ is worthwhile.