Language Variation in American Sign Language (ASL)

I want to learn about language variation in I analyzed many deaf people who sign their dialect in their area. For example, Deaf people who reside on the east coast sign faster and stronger, compared to Deaf people who live on the east coast and from other countries nearby Gallaudet. Some deaf people from the west coast sign and speak same time. Hearing people rather have some deaf people go to oral school or mainstream school instead of deaf school. There are other languages for Caucasian people, and Black people have different sign language because Black people use BASL differently than ASL. How does this sign mean different from that sign? I believe ASL instructors support the deaf communities that Language variation have their dialect.