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There's always wordtracker who charges you for search counts. Historically it's been good to check you keywords on and they give you competing pages as well.
Check it out, but remember those thingies should always be taken with a pinch of salt. They can be scewed by SEO's doing ranking reports ;)
Wordtracker can look at just your 2000 words without giving you suggestions (select "exact" or "precise" or something like that). They can tell you the number of times each word appeared in their query database (i.e. count) which I believe would be a measure of what you call "visibility" (i.e. searches).
You can also use Wordtracker to get the same data that the Overture search term suggestion tool gives with the added benefit that you can cut and paste large lists of keywords as opposed to one by one. The exact, precise feature is not available with the Overture data on Wordtracker but you can probably find an automated way to isolate the 2000 words after you get the search term frequency data.
<added: I believe Wordtracker can function nicely as the "script" you are looking for. However, they charge for the use of their system.>