I'm in the pacific northwest... even with roxul, we use plastic VB inside, and something more permeable outside. (I used tar-paper, and metal siding). The 'warm' side of the wall is meant to be the inside. Moisture is pushed to the outside by heating the building.
You probably have to flip this practice around in a warm climate when you actively cool the interior space for long periods.
The main thing is - don't use two types of air-tight material. (Traps moist air, that can't vent, and causes wood to mold/rot.) And I wouldn't use full interior spray foam due to it making future changes much more difficult with your sheathing, studs, and utilities all glued together.