Make the Cinnamon-Lime Syrup: In a small saucepan over medium heat, combine the water and sugar and stir until the sugar dissolves, about 2 to 3 minutes. Stir in the cinnamon, add the lime juice, and cook 1 minute more. Remove from the heat and pour into a bowl to cool faster.
Cool and Reserve Syrup: Let the syrup cool until no longer hot, about 10 minutes at room temperature, or chill it in the fridge for 5 to 10 minutes if you want to speed things up. Measure out 1/2 cup for the melon ices and reserve any extra for drizzling or storing.
Build the Salad Base: In a large bowl, combine the chopped cucumber, poblano pepper, tomato, and avocado. Add the chopped lettuce and diced honeydew melon.
Add the Crunch: Add the lightly crushed pita chips to the bowl so they stay crunchy but start to soften just a little like a panzanella-style salad.
Dress the Salad: Pour in the cilantro avocado dressing and toss until everything is evenly coated. Set aside while you cook the shrimp.
Season the Shrimp: In a small bowl, toss the shrimp with the sriracha, olive oil, and kosher salt until evenly coated.
Cook the Shrimp: Heat a skillet over medium-high heat. Add the shrimp in a single layer with any coating from the bowl and cook until pink and opaque, about 2 minutes per side.
Blend the Melon Ices: Add the frozen honeydew melon chunks to a blender and pour in 1/2 cup of the cooled cinnamon-lime syrup. Blend until thick and slushy, scraping down the sides as needed.
Serve: Divide the salad into bowls and top with the warm sriracha shrimp. Serve the melon ices on the side, and if you reserved extra syrup, drizzle a little over the ice for extra sweetness.