Can research rejected by journals has any chances being accepted if it is disseminated by the social media? I know it may sound somewhat out-of-order (if not outright crazy) to suggest it, but has anybody tried to use sites like Mendeley or the arXiv or some "social media" where you can upload PDFs to spread his or hers research even before publication? Has it ever been successful?

I know many scientists make profiles in diverse social medias to upload PDFs of their work (at least the ones they are allowed to) but I wonder how effective can it be if some "outsider" do the same? If I just create a Mendeley account and/or group and upload several PDFs there, write a short description what I am dealing with and the problems I face finding the right audience, do you think anybody will notice them or am I just making my situation worse? Do you think it will work? Or uploading them to the arXiv? Or just making a Google+ account? Or anything of this kind of "group sharing" of PDFs? I'm talking about papers turned away from journals because they are outside-scope and the journal is having problems to find proper experts to review them or outright deciding it isn't worth it to expand in this field. The more time passes the more I feel like I'm create a new field here and since it is brand new no journal is well-adjusted to take on it. Don't think I'm intentionally running away from the peer-review because I want to smear the academia. If enough people agree to at least view them (I'm not talking about agreeing with them just saying that there is something of a worth in them) can it spread enough to cause at least one journal to review it seriously? Can such a "buzz" strategy manage to spread awareness of an issue even if no one wants to publish it?

P.S.Please, be considerate to me and just tell me should I try it or not. Don't judge me, please, I'm just considering my options. I just want to reach somebody who can take me seriously, not get pushed back by the system because the reviewers can take the no-scope option.

P.S.2.What I am trying to publish s a paper laying the foundation of a brand new concept how complexity can arise. One which (as far as I know-I can't claim I have read everything about complexity which has ever been published-as you may know this is so HUGE field one can never claim such thing even if he reads about it all his life) contains ideas never researched before and has to include by basic thesis (3-5 pages of my core concepts) and a particular example how they are used. If I can get even one paper with the core in any journal, it will be very easy to start submitting many other papers in other journals citing it. Then I will be within the scope of these journals, but the big problem is this first one I must get in. I simply need a place which can accept my methodology and core ideas together with my example but it's this methodology which is so hard to understand and put in scope anywhere!
In my experience, even peer-reviewed publications are rarely read. There are a handful of influential papers in each field (from what I have seen) which are read and cited. But beyond these, a lot of work is only cited to keep people happy.

Therefore, I think that the chances of people reading the work without it being peer-reviewed are very slim.

If you want your work to get reviewed and it is being rejected before being read (this is what you're saying, I think), then you perhaps need co-authors that know the field better.