Do not do this in order to get into a PhD program "the next time around". It's possible, but consider a metaphor for the MAPH that I found:
"I wrote a book and sent it around to all the major publishers. None of them wanted to publish it, but HarperCollins wrote me back and said that their self-publishing imprint, HarperVanity, would publish the book if I would assume all production and marketing costs. This would cost about 100k. They didn't say that this would make it more likely that they'd publish my next effort, but it probably would. Should I do it?"