I didn't receive a 1099-MISC form. What to do?

Say I did work that constitutes me receiving a 1099-MISC but I never receive it from the client or the client refuses to give one (or just isn't smart enough to know that they are supposed to file one), how would I handle reporting this income?

I know the exact amount this person has paid and have receipts to prove it. I've read that I can just fill in the 1099-MISC information as if they have given me one, but, I don't have their EIN or Social Security Number. Can either of those be left blank?

Should I file this clients payment as "General Income" on TurboTax?