The owner or custodian of an animal may not deposit or leave such animal upon its death on public or private property. If a dog, cat, or ferret has a history of a bite or nonbite exposure to a human within ten (10) days prior to its death, it must be tested for rabies. Each dead animal shall be promptly disposed of by cremation, in accordance with applicable local, state, and federal regulations, burial, or other sanitary means so long as there has been no human bite or nonbite exposure. The Administrator, upon request of any person, shall pick up dead dogs, cats, and other small domestic animals for disposal for a fee not to exceed the actual cost of such pickup and disposal. In addition to other assigned duties, agents of the Administrator shall collect all dead animals found on County-owned property or highways and the Administrator shall be authorized to dispose of such carcasses.