RV/Caravan places carry a non slip item for cabinets and such that could work wonderfully for you. I have used a similar product used as a base for rugs on hardwood floors as well. It washes up easily, too.
@tanza:
Of course it is very possible that it was a Lab/Beagle cross…. that sired the pups
Wow! That would make a cute dog! Abby must have been smitten with him. :D :D