Moonsong Glacier avilaitkan (m)

Her compliments made him laugh! And then he laughed harder, knowing now that she enjoyed the sound of it, finding his voice carried more than he meant; but then he knew what to call himself. He joked first, saying, I could call myself Kalusruk — for how much noise we made together in the ice caves that day! His laughter was a bellow; he imagined Kukutux hearing this and ran out of breath for all his laughter, belly-aching.

I think you are right, there is no word for everything you said. I fear I will bring down your ulaq with all my noise! His laughter did eventually fade, leaving his face rosy-cheeked and eyes watering. You make me very happy, Ariadne. I think the word you look for is Kaluktuk! The man whose laugh is thunder! And it was close enough to the humor of earlier that they would have a joke between them forever.