Drain the shrimp well and dry them off lightly with paper towels.
Toss the shrimp in a bowl with the sugar, baking soda, and salt.
Skewer the shrimp on a few sets of 2 skewers. Alternate the direction they face, head/tail/head/tail. Skewer them close together to create a solid sheet of shrimp between the two skewers.
Suspend the skewers of shrimp over a baking dish so that air can flow freely above and below them.
Let the shrimp dry out in the refrigerator, uncovered, for an hour. They should feel quite dry to the touch.
While the shrimp dry, mix half the olive oil with half the minced garlic. Set aside.
Also mix together the parsley, lemon zest and juice, diced chili, remaining garlic, remaining olive oil, and salt and pepper to taste.
Preheat the grill.