Well, if you have one F2L slot plus the LL remaining to be solved, you can use a keyhole method to solve the LL edges. Basically with an LL edge in the slot, you insert it into the LL correctly oriented while bringing a mis-oriented edge in the LL into the slot. It is a little tricky because you want to get to a point where you have three oriented edges in the LL with the fourth edge in the slot, and with two of the LL edges correctly placed with respect to each other, while the third LL edge in the LL is incorrectly placed with respect to the other two. Then you can put the edge that's in the slot where the incorrect LL edge is while bringing the slot edge down into its slot.
But after solving the edges, you'll need to use commutators or other algs to solve the last five corners.