I'm definitely in agreement with Julie. I worked for a small online flash fiction publication as a slush editor for a good while, and though we were a small operation, we still managed to pay for our stories. We published several stories in the "body" of the magazine and a featured story. We paid more for the featured story, but the other guys still got something. The owner of the publication was very honest about rates, and almost everyone was happy to submit. We also included multiple editor comments on all rejections.
My point is the same as Julie's (or at least similar). If it's a notable publication and you're comfortable with REAL exposure as payment, by all means take it. As far as I'm concerned, money always flows to the writer. I managed to sell my shorts to indie / small publishers for both exposure and money when I started. I don't consider myself the world's greatest writer by any stretch. If I can sell my work for inclusion in newsletters and online zines, other writers should have no problem.
Don't fall for people who consider themselves publishers because they have a wordpress site and will be more than happy to "...publish your stories... but we can't pay you!" They typically trick you into giving them your work for "exposure" and nothing else. You're likely not getting any true exposure, and you may not be able to publish the story yourself for a while. If you truly believe in the publication and want to help them out, it's your call. Either way, ALWAYS check to make sure what rights are being negotiated before agreeing to anything. That's to protect the publisher's investment AND the writer.
Anyway, I digress. Sell your stories for cash. It's simple enough if you submit to the right markets and you write well. It takes some time, but you'll get the hang of it. Sell to a magazine or journal, pay attention to the rights they purchase, and then publish the story yourself when the time comes for you to be able to legally do so. As Julie stated, I'm pretty sure that Select is out of the question for republished works. KDP is still perfectly fine, though.