Thanks for your details!
Because the Tampa and St. Pete are terms that are connected to People CPT, to get the address, we actually go from post (People) -> taxonomy term (Tampa/St. Pete) -> term field.
So I think the Beaver addon doesn't work. It can only get post field for the current post.
I'd suggest you write a custom shortcode to get the term address. Then you can put it in the Text/Heading field in the Beaver Themer. Adding prefix text is also easy then.