If I understood you correctly this is what you’re after.
When in the dashboard, navigate to Settings > Reading.
Change the option that’s called Front page displays to a static page and choose the home page (assuming you’ve created a page to be the front page).
Now navigate to Pages > All Pages and edit the page you selected to be your home page (usually “home”).
Enter the shortcode [bbp-forum-index] and then publish.
For a full list of available shortcodes, visit https://codex.bbpress.org/shortcodes/
Upon further testing, I noticed that this will not edit the breadcrumbs and will show Home > Forums (linking to domain.com/forums). I also tested this by changing the forum root slug in Settings > Forums to “home” (the page I have set to be my front page) and it now shows Home > Home
I am unsure as to how this would be fixed though…
