Place eggs in a medium saucepan with enough water to cover eggs by 2 inches. Bring to a boil, cover, and remove from heat. Drain, and fill saucepan with ice cubes and cold water. Set aside to cool in water for 10 minutes.
Drain water and peel eggs. Slice each egg in halve lengthwise. Place yolks in a small bowl and mash with a fork until smooth. Add cream cheese, Parmesan cheese, thyme, sea salt and pepper. Pipe or spoon filling into empty egg whites. Season to taste with salt and pepper.
Sprinkle ground cheddar crackers onto each deviled egg.