In the past self publishing was the norm rather then the exception. I seem to remember Oscar Wilde self published a book of poetry. And thanks to modern technology self publishing and publishing on demand is becoming more popular.
And even if you do sign up with a publisher there is no guarantees that they are going to do much beyond producing a book. Unless you are J.K. Rowling. There is little chance they will push your book through marketing and getting bookstores to stock it.
One thing you may wish to do is check out if any national or international bookstore chains will deal with you. I believe in the UK the Waterstones bookstore chain sells self published books. And there is Amazon, of course.
It will not be an easy undertaking but it will probably be much more then the publisher would undertake to do.
I will be interested in what you decide. And if you go ahead what you experiences are.