You could always just do an offering to the moon and associated deities. I added a brief list of herbs associated with the moon below, as an example of some things you could offer, but you can use whatever you feel is suitable as an offering.
Herbs for the Full Moon:
White roses, carnations, gardenia, lily, iris, and moon flowers.
Wicca: A Guide for the Solitary Practitioner -> by Scott
"Herb Magic for Beginners: Down-to Earth Enchantments" ~ Ellen Dugan