I think a name for your network should be something that you come up with. It should be what defines you and only you and your team of affiliates. Much like a tattoo should tell a story, I think you should tell your own story by coming up with your own name.
Me telling you to that you should use the name CPA Crush Kill Fuck Destroy Faggot Ads is nice but when people ask, what's your story, you'll have to give someone else the credit.
Well if you already have stuff in mind. It's better to name a few of them and have people give feedback on which one they like the most. That's a much better approach IMO