I would most likely take this family provided they understood and agreed to my contract.
The *shoes* issue would not have triggered me as it is uncommon for people to remove them anymore; It seems to have become a nostalgic respectful gesture of a past generation.
The smoking and unkempt appearance is an easy fix, IMHO: a small mist bottle of water with a spoonful of baking soda mixed in for brushing/pulling back hair and a quick clothing change after breakfast is pretty simple to accomplish (use a few mists from same mist bottle, one fabric softener sheet and 10 minutes in a dryer to refresh original clothing for going home time).
The napping issue would be what the two week trial period is for.
IMHO, after two weeks she should be in routine right along with everyone else.