I think it is a good idea that the techs carry an air meter calibration kit and tools with them. Nothing stops arguments quicker than a 5 minute air meter calibration check.
As for trouble-shooting, that is a different area of concern. Techs need to know how to field-strip a guage, then check the calibration. It is not something I would recommend be done with a pamphlet, but should be demonstrated at a morning tail-board, then practiced by the techs. Show them what happens when air is observed leaking from the different trouble spots.
Tools required need to be nothing more advanced than a flat screwdriver and a couple of box wrenches.
This needs to be followed up with the three month calibration or as-required by the examination body.