In a small bowl, whisk together the peanut butter, soy sauce, hoisin sauce, sriracha, grated ginger, and hot water until smooth and creamy. Adjust the water as needed until the sauce reaches your preferred dipping consistency.
Fill a shallow dish or large plate with hot tap water. Submerge one rice paper wrapper for 10 to 15 seconds, just until soft and pliable.
Transfer the softened wrapper to a clean plate or cutting board.
Layer 2 shrimp, a few avocado slices, about 1/4 cup shredded carrot, about 1/4 cup shredded red cabbage, a few cilantro leaves, 2 basil leaves, and 2 mint leaves in the lower center of the wrapper.
Fold the bottom half over the filling, tuck in both sides, and roll tightly to seal.
Repeat with the remaining wrappers and filling.
Serve the summer rolls with shrimp immediately with the peanut hoisin dipping sauce.