You are doing a great mistake.
You will get work permit( C31) through the form I-360 ONLY after your vawa is approved and it may take even 3 years.
The only way to get an EAD (C9) is only when a form I-485 is filed or pending.
You are a spouse of a US citizen and should be okay by submitting a form I-485 so that you can the best EAD category(C09) while waiting for your I-360 to proceed.
Follow @Demise advices
DON'T DO THAT GREAT MISTAKE TO SEND ONLY A FORM I-360.