I found this fascinating account of HMS Ajax participating in, and helping to record the results of the Med Fleets intensive AA practice in early 1936:
http://www.axfordsabode.org.uk/pdf-docs/ajax10.pdf
from:
http://www.hmsajax.org/#/archive-material/4559380159
Ajax was equipped with HACS III and was one of the most up to date ships at that time, in terms of AA FC.