How is this possible if I've blacklisted them on my router? I double checked to be sure and Remote GUI and Remote Telnet are disabled, plus I have a particularly strong password.
Then that's not the problem. I threw it out there as a possibility as we have seen it more than a few times around these forums.
Nothing personal, but I've been strongly warned against running any system profiles except when working directly with Apple.
Understood. Around here, EtreCheck and MalwareBytes for Mac are both written and maintained by long-time users of these forums. You'll find user etresoft posting around here often. They are also the only two such apps that I and many other members will recommend without hesitation. They do what they say they're for, and nothing else. EtreCheck in particular was written specifically for these forums to help others.
Moreover, I got a note from apple saying they'd removed my link because it wasn't relevant to the original question.
The message probably sounded pretty flat. I was the person who reported the link to be removed. Not that it wasn't relevant, but just to keep other users from accidentally sending themselves to the same garbage site. The hosts routinely remove such links for that reason. The screen shot is the same location anyway, and says all anyone needs to know.
I leave Flash on Allow Adobe to install updates (recommended). It's to your own benefit for Adobe to be able to patch Flash as soon as they find and fix intrusion errors and other bugs.
Since a modem issue is highly unlikely, then you have something else installed that is causing the redirects. In lieu of running EtreCheck, I can suggest opening Safari's preferences. Click on the Extensions tab. Disable anything you don't recognize. If the problem goes away, you found at least one source of the problem. Delete the extension.