As for your question, no, there is no way to experimentally test any theory on black holes, barring a few exceptions.
"A charged black hole is a black hole that possesses electric charge. Since the electromagnetic repulsion in compressing an electrically charged mass is dramatically greater than the gravitational attraction (by about 40 orders of magnitude), it is not expected that black holes with a significant electric charge will be formed in nature." - Wiki
This also means that the charges in a neutral black hole should not align as you stated, with lighter electrons on the outside, because the electrical repulsion between those electrons would overcome mechanics and gravity.
That's assuming your image of a black hole was even correct, black holes are essentially particles, point masses which have the characteristics of spin, mass and charge, only. They do not have shape and charge distribution.