Hi Jazz,
Specifically regarding the CHGCAR file from VASP, I found the following:
"The values in the CHGCAR are written in terms of the charge density rho(r) (given in electrons/angstroms^3) multiplied by the volume of your supercell V (given in angstroms^3). In order to confirm this you can look at the integral of rho(r) over the supercell, i.e. "I = int rho(r) dV" which should be equal to the number of electrons N."
Then, from the VESTA manual:
"When these files are read in to visualize isosurfaces and sections, data values are divided by V in the unit of bohr^3. The unit of charge densities input by VESTA is, therefore, bohr^-3."
Therefore, I think you're right, and your line plot will have units of bohr^-3.
Philip