A no-cook tomato sauce is all about allowing the different ingredients to soak up one another's flavors. Let this one sit for at least an hour -- even three, if you've planned ahead. If your tomatoes are super ripe, skip the knife and tear them to pieces with your hands. (Whole-wheat noodles can sub in for the farro ones.)
Cacio e pepe is practically synonymous with Pecorino Romano -- but Pecorino clumps when cooked. Add it at the end, instead, which also makes the most of its sharp flavor. Lemon adds spunk -- that is, acidity and freshness.