Is the problem that you have several songs with the same album tag, and you want to download covers for each song? If that's the case, then I think it would be possible by using file path pattern matching instead of ID3 tag matching, so you could define the track name as the 'album'. For example: "\%album%.mp3". It is not generally necessary to split out the artist and album - almost all search sources combine them for the search anyway.
Yes, sometimes in a list of random songs there are more than one songs which should have the same album cover embedded. Anyway, I think ID3 tag matching was working since out of 100 songs, it found album covers for all.
The second part of your usage, to save the covers into another folder uniquely named, is not a problem. In the "Specify path to find images", just include the folder name where you want it to put the art. For example: "Art\%artist%-%album%.%extension%" would create a subfolder of your music folder called "Art", and save covers in that named by artist and album (where album is whatever has been defined in the search, it doesn't have to be the ID3 tag)
Ok, this was the key. What is very confusing to me is the statement: "Specify path to find images". It seems like it should say "Specify path to SAVE images". Making your recommended entry for that option worked.