Just to be clear. Its more noticeable when played Acoustically. I agree about keeping the strings.^That. Incorrect pickup height makes all manner of weirdo stuff happen. Also, if you want to change your strings but are afraid of the 30-day thing, just do it and keep the stockers to put back on it if you choose not to keep it. As long as you stay pretty close in string gauge I don't see anything dishonest about it.
I had an A-string with a broken core once, on a fairly new set of strings. It emitted a buzzing sound, similar to fret buzz, but not as loud. It would also go away if held the bridge or held the string past the nut. It drove me crazy trying to figure out the cause, and just decided to put an old string on to see what happened. The buzz was gone after swapping the string. You couldn't tell anything was wrong by looking at the string.
I tried a brand new set of strings. The noise continued and was maybe even worse. Just as bad at least. I put the old stings back on. I got in touch with Sweetwater and their 'tech' department will be calling in a day or two. I hope not too long. I'm keeping things in perspective but its such a bummer.
And thanks folks for all the great tips.