I suppose the way to go is into the Caro-Kann Fantasy Variation. Since I know how to play against the Veresov-Richter with 4. f3, I would probably know what I was doing, since I used to use a variation with 4. ...c6. Many others wouldn't have a clue and it could be good for 1. d4 players to study it and occasionally bring it out against 1. d4 ...c6.
True, you can choose the Fantasy Caro-Kann but they might either play 2.e5 (like I do) or 2.Nf6 (which I'm yet to try) which transposes to the Caro-Kann Defence: Masi Variation which sounds completely uncommon and if 2.Nc3 then 2.d6 is a transposition to the Czech Pirc
While choosing the Fantasy variation makes some sense and there are some elite players who try it occasionally, if Black knows you have a favorite line of the Fantasy they could play c6 to encourage you to play that precise line.
I suspect the Fantasy variation isn’t a great repertoire choice for most people.