I would agree with the above post - work experience can be difficult to get and I would certainly apply to both as you have no guarantee of getting either, and both are useful.
THAT SAID you may find a hospice to be a slightly more medicine-focused environment than a care home. More nurses around and usually doctors too, whereas care homes don't have a doctor around most of the time. Another thing is that many of the patients in care homes have dementia and will not be able to give you a good history, compared to hospice patients. Though don't forget that a large part of modern day medicine is caring for highly dependent patients with dementia so don't underestimate its importance.
But overall I would tend towards the idea that you might find a hospice placement more varied and interesting