Pig traps should work like plague infection.
Once activated pig traps, should go down faster when interacting with objects other then jigsaw boxes. The timer could be lengthened to compensate for this.
This change would highly incentivize not going and doing a generator, healing or any alternative actions outside of being chased/finding a box, without nerfing a survivors ability to survive the traps.
With the longer timer though (let's say 3 minutes, with double progression when doing tasks) rule set number 2 could also be made basekit, with an alternative effect such as making boxes unable to be interacted with until a trap is activated.
With a longer safer timer, trap add-ons could be made that affect their interactions, tampered timer could put a 0.2x multiplier onto the double speed bonus, making it 2.2x faster progression when healing or doing generators. Box of gears could cause more and smaller skillchecks. Crouch/dash add-ons could be added to base, whilst giving her additional effects to trap wearers (undetectable, fake traps, traps that stop the use of items etc etc)