For the Tostadas:
Heat the oil in an 8-inch skillet over high heat until it bubbles. To test whether the oil is ready, dip the edge of a tortilla in it and the oil it should immediately sizzle.
Placing one tortilla at a time into the oil, fry on medium heat until golden brown for about 1 minute on each side. Transfer tostada to a plate lined with paper towels to absorb any excess oil. Lightly season with salt.
Repeat process with remaining tortillas.
For the Shrimp Salad:
Add the cooked shrimp to a medium-sized bowl and set aside. Add 2 halved tomatillos, avocado, jalapeño, green onion, garlic, lime juice, cilantro and cumin into a blender. Pulse until almost smooth for about 30 seconds.
Small dice the remaining tomatillo and add it to the shrimp bowl.
Transfer the avocado mixture to the shrimp bowl and stir until combined. Season the salad with salt and 2 tablespoons of Limon-Chile. Spread the shrimp salad on a tostada and garnish with thinly sliced radishes.
For the Delicata Squash Salad:
Preheat the oven to 425 degrees F. Cut the squash length wise, remove seeds and discard. Place the squash on a sheet tray and roast for 30-40 minutes until tender and starting to caramelize. Let the squash cool completely, then dice and set aside.
In a large bowl add the olive oil, green onion, tomato, corn, poblano, lime juice, salt and cilantro and give it a quick toss. Then add the squash and Limon-Chile to taste, and mix until incorporated.