Hi @FunOutdoorGal - Thanks for getting those photos to us! If you are willing to disassemble your snowshoes, there are some parts of them that can be recycled. The Optima Instep's blue frames are aluminum and the crampons underneath are stainless steel. Most recycling facilities accept both of these materials.
For the remaining parts, your best bet would be to contact a local recycling facility and see if they accept any hard plastics. Otherwise, those pieces may have to go to the garbage.
Thanks again for reaching out and for putting effort into keeping unnecessary things out of the landfill. Hopefully this helps!