Place the fries and salt in a large mixing bowl, pour over the beer, and then fill the bowl with water until the fries are completely submerged. Soak in the refrigerator for at least two hours, but preferably overnight.
Preheat oven to 425°F. Drain the fries, rinse thoroughly, and then pat dry.
Whisk together the oil, paprika, and garlic powder in a large mixing bowl, add in the fries, and toss to coat. Spread the fries out on a large baking sheet, making sure the fries are only in one layer (you may need more than one baking sheet if your potatoes were particularly large).
Bake in preheated oven for 20-25 minutes, flipping once halfway through baking. The fries will be golden brown on the outside, and soft and tender on the inside.
Meanwhile, begin preparing the chili by browning the ground beef in a medium-size saucepan over medium-high heat. Add in the onion and garlic and cook until just fragrant and tender, about five minutes.
Add in the diced tomatoes with chiles, salsa, chili powder, cumin, water, beans, salt, and pepper. Bring to a boil, reduce heat, and simmer for 15-20 minutes.
To assemble the fries, preheat the broiler. Pile the fries in the middle of a baking sheet, spoon on the chili (you might not need it all), and then sprinkle with cheddar cheese. Place under broiler for 2-3 minutes, or just until the cheese is melted. Top with sliced green onions and serve.