Heat oven to 400°F Line a baking sheet with parchment paper or lightly dust with flour. Put flour, salt, cheese and butter in bowl of a food processor. Pulse until flour and butter are combined. Add about 1/4 cup cream or half-and-half and let machine run for a bit until a dough forms. If it does not come together, add more liquid a teaspoon at a time, until mixture holds together but is not sticky. (I only needed the ingredient levels as listed to pull the dough together.).
Roll out dough on a lightly floured surface until 1/4-inch thick or even thinner, adding flour as needed. From here, you can either form them into individual crackers (I went for 1 1/2-inch squares cut with a fluted pastry wheel) and bake them an inch apart on your baking sheet (the method I used) or transfer the entire rolled-out sheet to your baking sheet (draping it over the rolling pin will make it easier) and score them lightly with a knife, pizza or pastry wheel to break into crackers after they are baked. For either method, dock all over with a fork and sprinkle with salt or any other toppings you are using.
Bake until moderately browned, about 12 minutes. Cool on a rack; serve warm or at room temperature or store in a tin for a few days.