When it's hot out I have to collect several time daily, because it's so humid here, too. Depends upon where you are and what your climate is.
Some folks never refrigerate their eggs, they just use them. I refrigerate them, because I sell them, but an overnight without refrigeration is no big deal.
we keep ours in a cute basket on the counter. i think they're fine at room temperature for a few days or more. seems like they're always et up or given away before too long!