Stalactites should be a simple matter of getting the bandaged pieces, then all the corners, then using a simple edge commutator, and possibly an edge flipper. I say should be because I sometimes have trouble keeping track of setup moves and backtracking when a bandaged piece gets in the way.
One interesting thing that has come of this is that a simple edge pure 3-cycle that I do not normally use could prove to be quite useful. Here is how it works. Say I want to move piece A on top to B on top to C in the middle layer. A to middle layer; replace with C; C to top; replace with B; B to middle; replace with A; A to top; replace with C. Yeah yeah yeah, it is Through the Door Bam! Or the Down-Replace-Up commutator. Why don't I use this? Ah, upon reflection it is clear. The normal way I solve cubes, it just doesn't come up. But with Stalactites, it very well could.
Here is another pure edge 3-cycle: R' E R2 E' R' does RU to FL to RD.