The Vinyl Institute brags about how recyclable their material is so it should be able to be recycled.
A good resource to find places near you that will take these items is earth911.com.
Best of luck.
When my kids were young, people would give me big, heavy gauge, plastic playhouses and cars. How do I dispose of them? Same question for those vinyl pools for the back yard. They are cheap and many people bought them but they must be bad for the landfill drainage.