I plan to do a Reckie ride 6 March 2020 to check out the most remote part (Edithburg to Point Turton), as water is an issue. I have purchased the maps, but the PDF guide is available from here: https://yorkepeninsula.com.au/walk-the-yorke
The maps show the shelters available, and my reckie ride should sort out water (and beer) points. They are lovely people in the country, so if any passing cycle-tourists want to drop off some gear and join the ride that would not be a problem. The plan will be to take a bus from Adelaide to Kadina. I have used that bus service before and they are ok with pedals off, bars-turned. Some cardboard from a local supermarket can be easily used for extra padding.