Doggedly rhymes with:
ruggedly, acidly, advisedly, allegedly, assuredly, avidly, avowedly, belatedly, blessedly, contentedly, decidedly, deservedly, determinedly, excitedly, intrepidly, markedly, morbidly, rapidly, reportedly, ruggedly, solidly, splendidly, stupidly, supposedly, timidly, unashamedly, vividly
Doggedly sounds like:
dactyl, decidedly, desautel, deshotel, diastole, digital, digitally, distal, distel, distil, distill, dostal, ductile, dugdale