Debbie, my local library has a dismal selection of audiobooks as well, so I pay $20 per year to belong to the library system of a (larger) city about 40 miles away. Their audiobook selection is amazing, and I use it often. In fact I downloaded two audiobooks from it yesterday.
I also am a good customer of www.audible.com
, an Amazon company. The least expensive plan is about $15 per month for 1 book. I belong to the $11 per book monthly plan, purchasing 2 books a month. They have great sales where you can purchase really good books for anywhere from $1.95 to $5.95. I often take advantages of those sales. I also purchase extra book credits at around $11, since I can listen to 3 or 4 audiobooks in the time it takes me to read 1 paper/e- book. I don't sit down much during the day until after supper dishes are done, so listening to audiobooks is a great way for me to multitask. Listening to audiobooks in the wee hours when I can't sleep is a kinder way to "read" a book because there's no ambient light to disturb my DH.
I don't know of any free audiobook download services outside of a library system.