You can use the bike as one pole. I would check out rayjardine.com. He literally wrote the book on tarp camping, and it is actually pretty good. I just couldn't see how you could write a whole book on something you can basically own with a few minute practice. But he did it. Anyway, you can pick up what you need to know from the site if you like.

Ray has done the pacific coast, the great divide and the Appalachian trail many times over. In all that he has virtually never carried poles, in including through many deserts. So I would worry too much about poles.

I think approaching the thing from a tarp perspective is worthwhile compared to a just a hammock forum perspecitve, then you know what the ideal situation is, and can judge how close you are to it.