Thanks for all the helpful replies. I could have been and should have been a bit more clear. I didn't want to bother with the whole story, but I should fill in a little bit.
The entire wheel set was replaced by the retailer with no charge to me. The wheel with the 18 corroded nipples went back to the retailer. I didn't even bother to pull the rim tape off of the other wheel, knowing they would be replaced for free.
Now I have the replacement wheels, pretty much the same design as the ones that failed. I received the replacement wheels in January, but started riding them just this week. I've not ridden them in the rain and I probably won't.
So the wheels I have now are virtually new. I'm willing to dress, lube, apply product, etc. to the nipples to make them last as long as possible before rebuilding and replacing. It's a pretty simple question, albeit one that needs a lot of explanation.
Thanks for all the help..