Most libraries have a "request a purchase" link buried somewhere on their website. They aren't hidden necessarily, but they're often not easy to find either. I can't join every library in America in order to request a purchase of my own book, but if you are having difficulty finding that link for your own library, leave a comment below. I'll do my best to find it for you.
In the meantime, if you are interested in reading my book, live in Salt Lake Valley, but don't want to own my book, here is SLCoL's request form. Maybe you'll feel less silly filling it out than I would.