We can't use the name "Tor" in the project at all it seems. So we'll have to come up with something else.
https://www.torproject.org/docs/trademark-faq.html.en
Please don't use Tor in your product name or domain name. Instead, find a name that will accurately identify your products or services. Remember that our goal is to make sure that people aren't confused about whether your product or project is made or endorsed by The Tor Project. Creating a new brand that incorporates the Tor brand is likely to lead to confusion, and commercial confusion is a sign of trademark infringement.
Maybe we could create new branding for this, since we are talking about private internet access... It could be something like Privatus by Darkcoin, or Libertas by Darkcoin. The point is we can think beyond the word Dark. Lets have some brainstorming.
That could work.
LibreNet
LiberNet
PrivaNet
AnonyNet
by Darkcoin