No setting will change that. That is something that Verizon does nationwide. AFAIK, no Verizon Wireless number displays all the caller ID info. Usually it says WIRELESS CALLER or gives the city and phone number.
My recent Nokia, on a Verizon Texas only plan, showed my name and number as the caller. So is it the Nationwide plan that will not show it or the BB phone? I found in the phone where you can block your ID or let it be decided by something, or always show ID. I changed mine to always show my ID, but it still is coming up Texas Caller.j