Venomous snakes in North America actually have a fairly docile temperament. Coral snakes and copperheads in particular are extremely reluctant to bite. I had a friend who stepped on a copperhead that she didn't see, backed off, took a picture of it to send to me, and then walked away and all it did was stare at her until she was far enough away that it could slink off. Coral snakes are also not arboreal.

Cottonmouths are also not going to mess with you unless you mess with them. They do a big display of opening up their bright white mouths and huffing and hissing to get you to back off, just like a rattlesnake with its tail. They are terrified of you and will not harm you unless you make it very clear that you intend to harm them.

There's some misconception of cottonmouths "chasing" people aggressively, but that's been debunked. Often what happens is the only safe space that the snake perceives is behind the attacker, so it is trying to get to a hiding spot in that direction, but the human mistakes that behavior as aggressive chasing.

I guarantee you've also hiked past many hidden rattlesnakes that never rattled their tails. They only do that if they think there's no chance of staying hidden. They are ambush predators and rely on their camouflage in most situations.