I am a recent transplant from Alabama.
I have studied Alabama gun law extensively, and to the best of my knowledge, there is no way to carry in your car without a license. Some folks will cite the federal law that describes how to carry from one place where you are allowed to possess to another place where you are allowed to possess, but that law specifically states that it is for interstate travel--and, unless you are in interstate travel, State law should prevail as the matter is none of the fed's business.
Anyway, getting an Alabama CPL is a piece of cake compared to many other States. Get your license as soon as you can. Call your county sheriff to get the particulars on how he wants you to go about it.
Car carry without a license is one of several things which are the only State-created impediments to unlicensed carry. They are:
1. Carry in a car requires a license.
2. Carry at or near a demonstration is unlawful.
3. The section of code fondly referred to as "Dash 52" makes it sound like OC is illegal.
Fix those three things (and GFSZ at the federal level) and the exercise of the Right without a permission slip in AL would be easy.
Visit the site linked in my signature.