So sorry for your loss

re the funeral, you may want to check in the laws of your jurisdiction. In some areas it is illegal to burry animals (any animals) or float or anything and the reason being as Jason pointed not to transmit anything to the wild, it's part of being responsible pet owner.
Here in Alberta we need to bring them to the vet clinic for cremation and then you can choose either you want ashes back and/or not. For exotics, such as frog etc you can donate their bodies to educational facilities or veterinarians who are accepting them. This way the death is not meaningless and it will be used for help future or current vets to know more about amphibians that will in return possibly help save more frogs down the line.