Update on my case:

- Correct name: AAA(first) BBB(middle) CCC(last)
- Name on EAD: AAA BBB(first) BBB(middle) CCC(last)
- Requested name change, never got contacted, called USCIS to have a rep read off the email they supposedly sent me. Haven't sent EAD back yet
- Applied for SSN without a middle name: AAA BBB(first) CCC(last)
- Received SSN within a week as: AAA BBB(first) CCC(last)

Unless this becomes a problem, I plan to keep it that way. I feel like I can't risk sending in my EAD and possibly not getting it back for months on.