In a small bowl, whisk together the almond butter, coconut aminos, lime juice, grated ginger, garlic, and red pepper flakes until the dipping sauce is smooth and creamy.
Prepare the filling by julienning the cucumber and red bell pepper into thin matchsticks and shredding the carrots.
Fill a shallow dish with warm water and submerge one rice paper sheet for 10 seconds until it becomes pliable but not overly soft.
Lay the damp rice paper flat on a clean surface and arrange a portion of the cooked shrimp in the center.
Top the shrimp with a handful of cucumber, carrots, bell pepper, mint leaves, and cilantro.
Fold the bottom of the rice paper over the filling, tuck in the sides, and roll tightly into a cylinder.
Repeat with the remaining rice paper sheets and filling, then serve immediately with the almond-ginger dipping sauce.