Dogs and bear spray are good if you want buy some time but they will not stop a determined assailant. You might consider traveling with other full timers. Since there is no room to swing a bat in an AS, it will only make an assailant angry and more determined. Our objective is to live in or near a National Park or wilderness area throughout the year. We often boondock in remote out of the way places. Even when staying in an RV park you have to be able to defend yourself. The police only write the report.
If you want to survive an attack, you need a hand gun. When fired in an AS, almost any slug can travel through several rigs before stopping. You do not want to inadvertantly injure your neighbors. A Tarus "Judge" allows you to shoot a 410 shotgun shell with bird shot. At 20 feet it will hurt the assailant but the shot will not travel outside of your AS. The 410 will stop an assailant at 10 feet. The "Judge" also allows you to shoot a 45 cal. as well. You can get shot loads for a .38 special but they are less effective.
Some state laws are very restrictive (MA, NY, CA etc) so you may have to adjust your travel plans accordingly. I agree with Hibby - take an advanced course on handgun safety and use before you buy a hand gun.