Give 1mg of Benadryl per pound such that if your dog weighs 30 pounds, you should give it 30 mg of Benadryl. Talk your veterinarian - while antihistamines are generally safe, there are the potential for side effects particularly if your dog has chronic organ failure (renal failure, liver failure, congestive heart failure, etc.).
1 Encephalitis is inflammation of the brain.  Meningitis is inflammation of the membranes (called meninges) that surround the brain and spinal cord.
St Louis encephalitis virus is a mosquito-borne flavivirus that may cause a febrile syndrome, aseptic meningitis syndrome, and encephalitis. Other members of the flavivirus group that may cause aseptic meningitis include tick-borne encephalitis virus and Japanese encephalitis virus. California encephalitis is a common childhood disease of the CNS that is caused by a virus in the genus Bunyavirus.