A method / substep combo I've been thinking about for a bit:
1: FB
2: Cross
3: False F2L - form F2L pairs and surround the DR+R center block, occupying the DR-FR-BR-DFR-DBR space but not necessarily a solved 1x2x3
4: Recombinant LL prep - Fix F2L and do some LL influencing, like EO, OLL...