That tunnel at the Caroline side of Morse is dangerous in both directions. There are those that cut the corner going into the tunnel from the Caroline side especially. But there are also those that when exiting the tunnel swing out wide into the lane going toward the tunnel.
I don't know what to suggest regarding honking the horn. My hearing is apparently very sensitive to the frequency of the cart horns. When someone honks while we're both in the tunnel, it is very painful to me. On the other hand, that is, perhaps, a small price to pay to avoid a head-on collision.
