I'm sure glad I missed this one, all entertainment aside. I've never had use of a pulley for vehicle extraction, but various snatch blocks, comealongs, and high lift jacks, yes. I've had 6 or 7 winches in my time of all stripes. I bought my first snatch block from my friend ******** Cepek in 1967 as his little 25 foot wide store front was only a few miles from my home. The pin was 1.25 inches thick and the hardware was way overkill for my Land Cruisers. Of the maybe 500 winch pulls I've done, about 10% were with a snatch block, and the hook was hooked right back to the wincher producing an 'almost' doubling of the effort. Only flange drag and friction caused by the cable rolling around the pulley caused the loss. I could feel the result: slower, maybe twice as slow but with some sobriety in the result. None of this is scientific but due to endless field testing. The overriding consideration in winching technique is safety and a slow and methodical with many verbals as to your intentions and all shouting, 'CLEAR!' before any move, and "HOPE!" by any spotter to stop the move if something goes south.
To purposely change the subject, since you've clearly covered the it, here is what I currently use for extractions with my 10,400 pound RAM/ Lance Camper lashup:
Warn 15,000 pound winch on Warn's carrier and wimpy brush guard combo beefed up with additional welded CroMoly 4330 tubing, radiator saver, 2 inch receiver hitch, 26,000 pound test cement mixer D rings. I could just not stomach the several hundred extra pounds of a large steel winch bumper hanging out over the front end. Still, not much crumple zone here. If i had a choice when in the throws of hitting something in front I would aim for the sturdy center section which has the best shear factor.
90 feet of 7/16 or 1/2 inch wire rope (can't remember which) with roller fairlead. When using the snatch block with this, the realistic maximum distance is around 40 feet to the pull.
30 foot, 30K pound test nylon strap with loop ends. It's around 4 inches wide.
20 foot, 20K pound test nylon strap with loop ends
Cat Choker. This is a short piece of wire rope with a ball and socket and loop at the other end arrangement that will surround anything (like a log), cinch up tight to be dragged by a bulldozer and doesn't take up a lot of weight or space. Kind of unwieldy though. I use it to drag logs around the property. But if you have no winch attachment points it will go around anything like frame, sturdy bumper near the frame horn, cross member, spring perch or axle near the spring hanger.
Several sizes of LARGE D rings. You just never know what you are going to encounter. I use ones with a 3/4 inch to 1 inch screw in pin.
2 pair of H.D. cowhide gloves.
a 5 inch wide spread hook with spring loaded safety catch that will attach to my winch's hook (also with the safety catch). No open hooks need apply.
a nylon tree saver, loops on both ends.
I used to carry a 2 ton comealong to tie up or realign any errant chassis or drivetrain parts that may have gone astray, but since I don't Jeep anymore there is really no need.
2- 10K pound cargo ratchet straps. You never know what you will have to try to keep parts together if you roll or crash, or a companion does.
2 ton sissor jack. This is thin enough at full collapse to fit between the fender and tire on a wrecked rig to get it to roll again. When really hard core or with a larger group I carry a 4 foot pry bar to move any misaligned parts.
A 2" receiver stud with at least a 1/2 inch metal loop or D ring that will fit in front or rear of your rig. You never know which direction you may have to pull or be pulled.
Notice I don't use chains. I did that back in the day and they were occasionally snapping and always weighed a lot if you had the correct strenght, and were downright dangerous.
For heavier vehicles, a 12 ton hydraulic jack the correct size to fit under the side of an axle whose tire is flat. Also a jack board: a 1 foot square glued and screwed sandwich of plywood up to 1-1/2 inches thick as a footing for any jacks. This little homemade item has saved me over and over again. Also, a heavy jacket or cotton duck tarp over the top of the wire rope will soften the snap if the cable actually snaps.
For a truck camper I do not recommend or carry a high lift jack. I have both the 48 and the 60 carried over from my jeeping days, but they are largely worthless and not worth the weight penalty as they will only lift on the front of the truck. However, it will "look good" strapped on your front winch in transit.
Essential are sturdy attachment points as described above by other posters. Most newer trucks have adequate straight pull points. My 18 year old RAM, not so much. The Class V (10,000 pound limit) rear hitch is now good enough.
Some last thoughts are: If you have never been a hard core 4 wheeler, skip the winch altogether and be less aggressive. Someone else will pull you out. You don't have enough technique. I know quite a few folks that get a winch and never use it, but have someone else pull them out. Enjoying the smell of ozone I still go looking for the 'edge of stick' even with the truck camper. Needing sand mats and the like are an indication that you need to lower the pressure on your tires. High floatation negates the need for sand mats.
Winch here? nope not yet: the rock garden at Mengel Pass Death Valley
Here? not yet: going upstream (up road?) during a flash flood in Panamint Valley, Death Valley
Yes, here: Goler Wash in Death Valley: this is the trip before I installed Tru Tracs front and rear.
regards, jefe