Toss the white American cheese cubes, evaporated milk, and whole milk into a medium saucepan.
Heat everything over medium-low, stirring often, until the cheese melts and the texture looks smooth.
Mix in the chopped jalapenos, jalapeno juice, garlic powder, onion powder, and salt.
Lower the heat if things start sticking, and keep stirring so nothing burns at the bottom.
Add the diced, drained tomatoes and stir to spread them throughout the dip.
Taste your queso and tweak the salt, jalapeno juice, or seasonings if you want a bolder flavor.
Pour the queso into a serving bowl and serve hot with chips, or keep it warm in a slow cooker for a crowd.