If the TD is not there to supervise strike or pre-strike, then the SM should supervise.
Make sure that the cast and crew knows that no one leaves until they are cleared by you. Once they finish one job they are to report to you for another job. Everyone strikes!--even complete clutzes can take off spike tape and hang costumes back on a rack. I give a large grade for strike. Anyone who leaves early or doesn't work gets docked. People who flake will fail.
I start by making a list of everything that needs to be done. Then I sort it in the order of the way things should be done.
I try to get my crews to take care of things that can be done during the run of the last show--hang costumes back up on the rack in the inventory order, put props back in the props boxes when they are no longer needed, clean up and store the make-up kits, etc. I verify with my crew members that this is what will happen, or their strike grades will suffer.
I assign my crew to the stuff that happens immediately after last curtain while the cast is greeting the audience and getting out of costume. Then I assign the cast in groups--usually separating close friends so more work gets done faster.
My next set of duties are things that can be done after the first set of things. I assign these jobs as company members report for their next duties until strike is done.
I try to position myself in a central location where I can supervise the work in the dressing rooms and onstage by transitioning only a few steps.
If you rehearse in your own space, double-check that every item is returned to its proper place and not just thrown around. If you are in a rental space, check every single area to make sure that you don't leave anything by accident. Don't forget the lobby display boards!