Tim-Buc-Tuu has great food with a local flare and reasonable prices. Its not very fancy looking, but very tasty. FWIW, its #1 for Grand Cayman on Tripadvisor.
They don't serve booze, so its BYOB or BYOW -- which also saves a pretty penny.
Tim-Buc-Tuu Diner, West Bay - Restaurant Reviews -...