Wow, what an ordeal. And it seems like you were just chasing your tail and not approaching this from a logical pattern at all.
There are three potential issues that I see.
1. A problem with the camera. 2. A problem with your lights. 3. A problem with your computer.
To eliminate #3, take your RAW images, convert to JPG, and open them on another computer, phone, or anything. If the images look fine there and horrid on your computer, then you have a computer problem.
To eliminate #2, go outside and shoot in the sunlight with a daylight balance. Do the images look right? If so, you may have a problem with your strobes. And yes, while Alien Bees do change with power, so do all other strobes to varying degrees. And the color shift on a Bee from minimum power to max power is CERTAINLY within the range of correction in LR or PS. It's a few hundred mired. No big deal at all.
To eliminate #1. Take a CF card to your local electronics store, and take a photo. Bring it back to your computer and see how it looks. If it's normal, it may be your camera.
From going through all that has been posted so far, you have a number of issues, some self inflicted.
Turn off AWB. NOTHING could be worse for studio flashing. Just set your camera WB to "flash". It may not be perfect, but it will be DANG close. Alternately, calibrate with your expodisc. This will put you in the money for a WB. Just set the camera up for a custom white balance, then go sit or stand where the model would go, and fire off a shot with the expodisc in place. And it will give a perfect WB, even if the AB's are shifting color.
The flourescents shouldn't matter at all. The strobes, even at minumum power are going to be 100x as bright.
It sounds to me like you've got an issue with one of your computer programs trying to process in the wrong color space. That's my initial guess. The biggest clue to this is that you say when you look at things on your proofing site (after your corrections) they look washed out. So do this to test. Shoot a shot normally. Do not process the image. Upload it to your proofing site. Does it look ok? If so, your monitor is fine, and your camera is fine. Your editing software has something messed up.