Hmmm, SendGrid offers 100 sends per day for free and their "API" has an SMTP feature. I'm sure there are others. SMTP relay for outbound? I'm thinking of giving it a go.
well.. to report back there are minor nits in the docs about "how to do it" but I succeeded in getting DKIM/SPF done, and google and pobox both honoured it for delivery which is something. (I used the google postmaster doorway to prove control of the domain)