I am delighted to answer your question.
I know a school{OMEGA CENTER FOR SPECIAL NEEDS} in Ain Khaleed area that offers excellent services for special needs children. http//www.omegaqatar.com is their web address. Their contacts are as follows;
Phone: +974 4451 3210
Mobile: +974 5563 9713
I am a mother of a 9year old Autistic child who attends the same school.
Hope this helps