I think I understand how you are thinking. The terms say: Associate Bravenet and any Products and Services with any adult material of any sort
So you are figuring if you get premium hosting and a domain, and remove the "branding", nobody will associate the site with Bravenet? Interesting idea. But anyone offended will probably be able to check what company hosts the site. And if someone mistypes a page name, a Bravenet error page will pop up. Besides, if Bravenet finds it embarassing to host adult sites, think about when it becomes known that they do, but try to keep it secret. I think your wife needs to find another host.
I think the site will fall on the wrong side of the divide and you will need to find another host. I believe that Bravenet will suspend the site first and as questions afterwards if somebody complains (and there are people out there who go around looking for things to complain about!)