THIS site is a Weaver Xtreme site using the Weaver for bbPress plugin. I think it is a pretty good example of a bbPress site.
While this site is pretty much bbPress only, there is no reason at all that you couldn’t include a Blog page, other pages, whatever.
Just for example, the HOME page of THIS site is simply a standard default page with the intro text at the top, followed by the bbPress shortcode: [bbp-topic-index]. Very simple to do. Use Weaver for the header, sidebar, footer. Use bbPress shortcodes for the forum.
So you could have a “typical” blog page for home, and the forum on any other standard page.
Each of the pages on the Forums menu are also simple bbPress shortcodes.
Not to discourage you from updating to Weaver Xtreme, but a Weaver II site should work very well with the Weaver for bbPress plugin, too.