I find that I just can't answer this question.
I cannot in good faith recommend any low price Nikkor zoom lenses for a D200, simply because I think it is a mistake to spend such a large sum on a camera body which (will be outdated by... umm... the end of this month) while buying cheap lenses. I don't believe that there ARE any good, low cost Nikkor zooms... the only low cost Nikkor lens I have seen recently (as in the digital era) that I would consider "good" is the 50mm 1.8 prime.
Buying as much camera as you can afford and then scrimping on the lenses is backwards thinking... it is far better to scrimp (if scrimping is what your budget requires) on the body and buy better glass.
I would rather see you in a D80 with a decent lens than a D200 with cheap glass... your images will be much, MUCH better.
I am not disrespecting a D200... but I AM disrespecting an 18-135 slow plastic lens on one.
Since that isn't what you ask, I guess I will just throw out a suggestion of the following lens.
The Sigma 24-60 is a lens that I own, which is available for $239 plus shipping, and that I can recommend. It is fast (f/2.8 constant), tack sharp and has excellent build quailty, a standard 77mm filter size and costs (in this deal) $250 with shipping from an excellent online retailer whom I have bought a ton of stuff from...
Sigma 24-60 f/2.8 EX DG (clicky)
Is the Sigma as good as a Nikkor of similar specs? No, absolutely not. However, it is $1200 cheaper.
Additionally, since the D200 can shoot just about any AI lens, you can also find a lot of excellent Nikkor manual focus glass very inexpensively... you can get good, fast primes for peanuts.
I would rather see you go that way than something like an 18-135 (a lens I particularly dislike, since it is expensive for what it is, has plenty of image quality issues, is made almost entirely of plastic, is very slow and has no VR...)