Yes it is worth waiting for it to rain before mulching with plastic, when as dry as chez Raymond. You can spread compost now though.
Every situation, planting and weather past and to come, means slight variations in the approach needed. Then one’s initial plan may need to change as unexpected weather and weeds appear, so I can’t give a precise formula here, just the principles. I hope you have some rain soon Ray, the plantings sound exciting, I would maybe do a little less than you suggest, start small and build up once you see what works.
Also the Fukuoka method is incredibly skilled with precise timings and is suitable to his particular climate (warm and damp), so I would try that on a small area first.