We too are in LI and have been collecting information regarding eldercare in The Villages for when we move down. This is what we have found and saved so far, but haven’t checked into:
The Retired and Senior Volunteer Program. It is operated through the Dept. On Aging and the Corperation for National and Community Service. It's been around since 1971.
http://www.cf.edu/departments/pathways_site/rsvp/
http://pathways.cf.edu/rsvp/contact.htm
Prestige Manor in Bellview is an assisted living facility which accepts day care for alzheimer’s patients. Two days a week for 8-9 hrs/day the cost is very reasonable ($50/day). 352-245-1005.
Advanced Nursing Concepts (205-7418). This seems to be a daily schedule type service.
Good Luck!
KC from GC