You remind me of Erlein, my aunt's neighbor.
She had 10 chihuahuas - including the smallest one she kept in her bosom.
God they would yap when you came. Extremely annoying.
But we enjoyed visiting Erlein and the dogs were cute and we knew they would quiet down.
So the answer is yes. You can host.
Just give guests a head's up. It'll take a little marketing and humor to minimize
"Exhuburent animals, best if deaf"
"Their greeting compensates for their size..."
This is Airbnb. You want to atttract guests who are not bothered terribly by your little terrors.
Good luck