There is a Group Blog plugin which would do what you are looking for.I’ve tested it a few months ago.It creates a blog in the group ceate/admin process then you would need to select a theme which would match with your main blog. Not sure if it works with bp 1.5 yet though,i tested it on bp 1.2.9 https://buddypress.org/community/groups/bp-groupblog/
I’m favouring Brunelleschi Theme at the moment. You can see it running at http://www.dennisbarkercv.com
compatibility is by running the buddypress buddypack plugin but it does pretty much what I want with no coding.
I’ve been playing with BBPress 2.0 for a while. The quickest and easiest way to get it working is to copy the shortcode you require (or all of them and then edit the ones you don’t need) from https://bbpress.org/forums/topic/bbpress-20-shortcodes
Paste the shortcodes you require into a new page you create within wordpress – or an existing page.
The forums list will show up along with topics list and so on if you use the correct shortcode.
I use a plugin to make it easy to find Post ID for each individual forum.