jennapet, as long as your company OWA does not use MS ISA (Microsoft Internet Server Accelerator), you can integrate your BIS account with your Outlook mailbox through OWA.
You just need to go to the BIS website to set it up. For Verizon, the BIS URL is:
BlackBerry Internet Service
Login there (or choose Create New Account, if you haven't before), choose Setup An Account, leave the password blank, and it will take you to a dialog where you can choose to manually setup your account. Choose the option for work email address, then choose the option to integrate with OWA.
Once you get it all setup right, you won't have to use your BB browser to access your work email. Instead, it will show up in your BB Messages Inbox.