I'm not afraid of snakes. Although I will say I saw a Massasauga rattle snake once in our shed. The box it was in was full of wind up toys so when I bumped the box and heard the noise I thought I had triggered a toy. I began banging on the box trying to undo what I had done. Then I stood on tiptoes(it was the top shelf) to peer into the open box and saw the coils of a snake. I didn't see the head or end of the tail but it was could 2-3 times.
Now that snake I'll admit I almost wet myself. You've never seen anyone run so fast in your life! When I plucked up the courage to go back in it was gone. We never found it.
Generally speaking though snakes don't bother me. Spiders on the other hand are my cryptonite. I react about like you guys said you do to snakes.
Your story is going to give me night mares!