So I FINALLY found a fix that worked for ME!!!!
None of the other fixes I found posted here and other places worked including:
1. The anti-aliasing solution (lower or increase depending on different user experiences)
2. The 'showracemenu' console solution coupled with a save and reload/restart.
I even uninstalled the game and all my mods to no avail.
What worked for me was deleting the following files (thanks to Monkeyes62 for the fix):
Skyrim.ini
SkyrimPrefs.ini
RendererInfo.txt
NOTE: I deleted the above files and after seeing that the problem was fixed I restored them to create a before and after screenshot and oddly enough the problem remained fixed.
I haven't tested to see if this is a permanent fix or the problem will return when I use invisibility spell/potion. I really hope its permanent as it will get old real quick having to delete these files every time I use an invisibility spell/potion.
Description of my original problem:
The textures for all but one of my eye shapes were fouled up to the point of appearing to not be there. The #2 shape was the only usable shape. I think this is due to a mod making the eyes larger for #2. In CK when I zoomed way in I could see the eyes in the other fouled up shapes but they were extremely small and when viewed normally practically invisible (the only way could see they were there was due to their fluttering which made them look worse and even creepy).
This happened after I began playing the Better Vampires mod and used the new invisibility power.
PLEASE NOTE: In trying to find a solution to this problem I've found three of which only one worked for me. If you have a solution that works for you, great, please post! But please, please don't go telling people that a different solution that worked for them is wrong because the solution that worked for you is different. Or don't assume that your solution is the only solution.
Here is the link to Monkeye62's post where I found the fix:
Board Message
If anyone's interested here is a shot of my character post-fix using the previously fouled #4 shape:
https://dl.dropbox.com/u/34871649/2012-08-27_00001.jpg