Hi Giorgio and thanks for your nice message.
A difficult climate but ok if you have water and no dig will make a difference.
Yes a light ‘paillage’/cover of straw sounds worthwhile. This summer I have experimented with some half composted grass but am not convinced, for our climate. And a visitor from Sydney saud how he prefers compost mulch for ease of sowing & planting, but he is gardener not market gardener.
I would try a few things to see.
