Drilling rhymes with:
grilling, rilling, thrilling, trilling, billing, chilling, dilling, distilling, filling, fulfilling, grilling, hilling, instilling, killing, milling, pilling, quilling, rilling, schilling, shilling, skilling, spilling, swilling, thrilling, tilling, trilling, unwilling, willing, zwilling
Drilling sounds like:
darling, darlings, derailing, dreiling, drilling's, drooling, durling