* "ighty": This isn't a real word, but it's close to the sound and could potentially be used playfully.
* "lightly": This isn't an animal either, but it has a similar sound.
You could also consider using a playful approach and use a word that rhymes with "alright", such as:
* "flight": While not an animal itself, you could talk about a bird's flight or a butterfly's flight.
Ultimately, finding a perfect rhyme for "alrighty" within the animal kingdom is tricky. You might need to get creative!