I don't have a lot of experience with these cable traps, but as far as I could tell, I never did see a trap that was chewed. Most of the damage to the trap was just from jerking it out of the ground, getting tangled in the snare cable, or wrapped around a tree. As mentioned above, the trap was just kicked/flipped out of the trap circle, or buried inside the trap circle. Not sure if a bear would mess with a piece of flagging or not?
Even if you only had a half-inch sticking up out of the dirt, it'd be easier to find. I've got a spool of orange chalk line, if you'd keep it short, that would hang tight. Probably, just laying on the ground, in plain sight.
But I wanted to say this, it's been around 25 years ago, but I've watched bears in a cable snare, 10 feet away, you could toss them a chocolate bar, and they'd peel it and eat it. Very nimble little toes, and paws! As a rule, most were shy and timid. But, it's still a bear, and deserves common sense.