I just checked out the Albany Airport website.
http://www.albanyairport.com/3/ground/bus.html
NORTH DEPARTURES
10:35 am Clifton Park, Saratoga Racino, Saratoga,
Glens Falls, Queensbury, Great Escape,
Lake George, Bolton Landing
12:10 pm Saratoga, Glens Falls, Lake George
Warrensburg, Chestertown, Pottersville,
Schroon Lake
If you have a place in Saratoga, these might work for you. Don't know anything about return trips.
I decided to stay at the Comfort Inn near the Albany Airport and drive to Saratoga each morning. It's not the most convenient arrangement, but it's more convenient than not going at all.