I WOULD NOT take the advice of anyone who is suggesting that you DO NOT mention your child's condition when looking for school placement.
Schools can support a wide range of students unique learning styles ONLY if they have ALL relevant information. Mild Autism is relevant information.
there are a number of schools around who should be able to offer a place for your child - assuming there are places available at the school. Sunbeam would be my first choice. Hope centre (school) would be another option.
best of luck