In a large bowl, combine chilled rice, beaten egg, red curry paste, and fish sauce until evenly coated.
Heat oil in a non-stick skillet over medium-high heat. Press rice mixture into the pan in a thin layer or small patties and fry until deep golden brown and crispy, approximately 5-7 minutes per side.
While rice is frying, prepare the dressing by whisking together peanut butter, lime juice, soy sauce, honey, and grated ginger until smooth.
Remove crispy rice from the pan and let cool slightly on paper towels, then break into bite-sized nuggets.
In a large mixing bowl, combine the shredded chicken, cucumber, shallots, cilantro, and mint.
Add the crispy rice nuggets to the chicken mixture.
Drizzle the peanut dressing over the salad and toss gently to combine.
Garnish with crushed roasted peanuts and serve immediately to maintain rice texture.