NO you do not tell EDD you have applied for anything. I lost unemployment due to pathological honesty and clarifying this sort of thing. Without insurance it may be impossible to get a diagnosis. It is costly and takes days of tests, interviews with parents or persons who knew you as a child and mostly, someone who knows how to diagnose. Goood Luuck!
You could do several online tests and take the results to SS person and appeal. Depression, especially BiPolar is usually easier to get SSDI for. Don't give up as no one gets approved the first time unless blind and multiple limbs lost. I know you would rather work, but you could do volunteer work after you get SSDI and try again when you feel more confident.
Autistic Strengths reviewed for the workplace:
At its best, autism can offer these strengths:
strong conceptualization skill
(able to mentally model complex systems, may develop instinctive understanding of the system from this internalized model)
logical thinking
(strong skills in technical research or computer programming)
exceptional memory
attention to detail
(can identify inconsistencies in processes or communications)
honest, straightforward
(can treat people fairly)
intense focus
willing and able to learn great depth of information in specific field
Autistic Weaknesses reviewed for the workplace
Even at its best, autism may still offer these weaknesses:
sensory sensitivities
need for sensory escapes or stimulations
slow to recognize people or objects
(persons with prosopagnosia would be bad at security duties)
slow to verbalize
slow to shift attention
(may need to avoid multiple responsibilities)
resists change to working procedures
unable/unwilling to navigate office politics
(may not recognize the need for hierarchical routing of communication, instead preferring direct communication with the person having information or decision authority)
unable/unwilling to recognize or generate deceptions ("lies"), or bad at doing so
unable/unwilling to comply with some social norms
(grooming style, clothing, desk neatness, phone protocol)
poor skill with extemporaneous speaking
poor understanding of metaphors
(or recognizing questions as rhetorical)
http://www.faaas.org/doc.php?25,31