According to the Killarney Canoe Guide, the route we did covers 109km and takes you around the entire Killarney Park. So I'd have to post the entire park map to show you the route. I'm not going to do that. It would either be too massive to download or too small to be legible.
However I did track our route on a GPS, so you can download the waypoints if that's helpful. I make absolutely no waranty about their usefulness.
Here is the summary of our route (campsites are in bold):
George - Freeland - Killarney - Kakakise - Carlyle - Johnnie - Bell - Three Mile - Balsam - David - Great Mountain - Fish - Gem - Howry - Cat - Van Winkle - Hanwood - Leech - Murray - Nellie - Helen - Low - McGregor Bay - Baie Fine - Artist - Muriel - OSA - Killarney - Freeland - George
I think the route could easily be done in nine days - eight if you wanted to push it. We could have made it to Johnnie on day two, and gone right to David for day three. If you had to lose another day, lose Baie Fine. Go right to Muriel or OSA instead. Killarney is still a great place to spend your last night, so you can use the extra time (Muriel to Killarney is maybe an hour's travel?) to explore the ridges.