If you haven't passed peer review, it's almost certainly because you can't rather than because you have better things to do. If it's not published in a peer-reviewed journal, there's no reason to treat it any differently than the ramblings of the Time Cube guy."
-- Paraphrase of a speaker at the Northeast Conference on Science and Skepticism
If it's not published, it might be correct, but it's not science.
Perelman's proof of the Poincare conjecture was never published in an academic journal, but was merely posted on arXiv. If that's not science, then being correct is more important than being "scientific".
Recently, I gave some reasons for SIAI to begin publishing in mainstream journals, and outlined how it could be done.
I've recently been made aware of some pretty good reasons for SIAI to not publish in mainstream journals, so here they are: