And then you can route through Tor, I2P, Orchid or Lokinet. For any of those, getting logs from enough nodes to figure out browsing history would be nontrivial.
I suppose you could then be charged with "evasion" or whatever. If we get to that, it's time for a rootkit/botnet that spreads like WannaCry, and communicates via covert channels. Everyone will be running it, because it spreads so aggressively, and anyone who wants can use it, without leaving any traces.
Edit: spelling