Boards and a shovel handle nearly everything, and the part people skip is a compressor.
Dropping pressure is the most effective free thing you can do on soft ground, and without a way to reinflate you are then driving to the nearest garage on tyres that are too soft, which is how sidewalls get damaged.
Also check what your recovery points actually are. Plenty of vans have tie-downs that look like recovery points and are not rated for a snatch, and finding that out under load is dangerous rather than inconvenient.