Preheat oven to 350°F.
In a food processor, combine the cheese, butter, flour, salt and red pepper in five 5-second pulses until the mixture resembles coarse crumbs. Add the half-and-half and process until the dough forms a ball, about 10 seconds.
On a lightly floured surface, using a lightly floured rolling pin, roll the dough into an 8- by 10-inch rectangle that is 1/8-inch thick. With a sharp knife (or a pizza or pastry wheel; both worked great), cut the dough into thin 8-inch strips, each 1/4- to 1/3-inch wide (dipping the knife in flour after every few inches ensures a clean cut). Gently transfer the strips to an ungreased cookie sheet (though I lined mine with parchment), leaving at least 1/4-inch between them. The dough may sag or may break occasionally in the transfer, but don’t be concerned — just do your best. The straws can be any length, from 2 to 10 inches.
Bake the straws on the middle rack for 12 to 15 minutes, or until the ends are barely browned. Remove from the oven and set the cookie sheet on a rack to cool.
Serve at room temperature. Cheese straws will keep in the refrigerator, in a sealed container, for two days. They will not last an hour at a party.