I guess the automatic clicking sounds were added in the first place to increase the chance for the Fireteam to spot the Predator? Or is it for the roleplay only?
But how about removing the clicking sounds completely while cloaked and instead add them to the mimicry wheel?
I’d say it would be better and scarier if the ambient sounds from birds etc went silent when the Predator is near the Fireteam, like having mother nature saying that someone is about to die soon. This to let the Predator make the first move, just like in the movie. Right now you can tell straight away where the Predator is located if it approaches in cloak mode.
Either silent ambient animal sounds or make animals call out warning sounds when the Predator is near would be cool imo.