I had used the 18-200 initially but found the distortion unbearable for me and sold it off.
Then I found the 18-135 which has less distortion and I used t. Picture quality is identical for both.
Frankly the 135 vs 200mm isn't as big a difference than u think.
Used 18-135 can be had for abt $300,
The distortion is more obvious if the focal length till 24mm. Which can be easily corrected by PTLens.
If u notice their is a diff in built quality on the canon 18-135 & 18-200. The bottom line, you get what u pay.