OK, beneath the secret tags here's a picture of the paths I used.
One thing I forgot to mention is that due to the fact that the snake chambers have a loop that's a multiple of 10, the snake heads will always have the same preference at the same Manhattan (orthogonal) distance away from the starting point, given that the snake gets *delayed for the exact same number of moves*. So, to change the snake head preference at a constant location, either the head has to take a different path length there or meet up with another snake head earlier or later.
This particular solution doesn't actually involve using both clones at all. Oops. But, earlier ones did.
Click here to view the secret text
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Quick links to my stuff (in case you forgot where it was):
Click here to view the secret text
[Last edited by Chaco at 11-25-2018 05:10 AM : oops, wrong path screenshot, corrected now]