I suspect it is something on the website that is erroring out when BB browser tries to resolve, and nothing you can do. But you might give more detail and see if someone can help.
Are you viewing the regular html version of the site when this happens, or a mobile site?
Have you tried enabling java or disabling java in the browser setup (whatever is opposite to what you are doing now)?
What about trying other settings? (Are popups disallowed?)
Try different emulations in the browser setup?
There is also opera mini, as something to try. Many like it because for them it resolves some pages better than native blackberry browser.