Many different ways other than adobe or plaster. Many straw bale builds are in the Southwest but there are lots more throughout the US. Inside plastering/adobe is mainly for looks. Outside is where you want to really waterproof. Nothing lasts if it is directly on the ground. So you get your bales up. If your area is prone to flooding then put the entire thing on stilts. Think of straw bale as being like Rigid Foam Panels. No wood/metal studs.
What I am planning: Pour a foundation. Build a cinderblock safe room (This is Tornado Alley!). Walls straw bale. Roof is used tin panels.
As long as the bales are off the ground, dry when laid and waterproofed they will last forever. Each outside wall will have a major overhang except the south wall. The south wall I plan to use as many windows as possible (you use wood to frame for windows/doors) and turn the place into solar everything. I will use both passive and active solar for heat, power and interior lighting.