I understand that you don’t have time to market your book, but that means you don’t have a spare 20 minutes a day. Most people do have a spare 20 minutes that they could turn into some real marketing time.
It really doesn’t have to take much time to begin marketing your book.
Certainly you could visit some websites related to your book and offer them the opportunity to showcase a chapter from your book.
Certainly you should have time to set up a talk at your local library – librarians love local authors.
Certainly you have time to write a blog that excerpts your book one paragraph or section or chapter at a time. Your blog or website is where you would send people to find out more about your book after you find a website to give away a sample chapter.