BrowseSafe.org is a great name for an organization or corporation that puts itself in the position to help make the internet experience safe for all people. Therefore this domain is excellent to be used in such a way. With the .org TLD you get the authority of being able to set yourself up as an organization or NGO in regards to internet safety.
The term "browse safe" and terms that contain "browse safe" are searched 12000+ times a month on Google. This means that this sitename has great potential to grow, be found when searched and is easily memorable.
Price negotiation is possible.