-- Last Updated: Oct-31-12 11:32 AM EST --
That is, assuming you are talking St Clair Lake in Michigan. It took me some hunting around to find one place that had all three names, not uncommon ones.
But you probably haven't looked broadly enough. I found the following.
Riverside Kayak Connection in Wyandotte MI, 1 hour drive from New Baltimore, they do lessons etc year round via access to a YMCA pool. Driving an hour to save your life is a cheap deal.
Link is http://riversidekayak.com/lessons-classes
The Kayak Connection, Algonac MI, 20 minutes from New Baltimore.
I don't see any indication that they are a good fit for things like winter pool sessions from their web site, and they seem to be more about kayak fishing, but they do have ACA instructors. So they may offer or know of more opportunities than I see on the web site. Worth a phone call at least.
Link is http://www.thekayakstore.com/index.php
I also found an outfit called Black Parrot Kayaking that operates some out of Brighton, but they are a further drive than either of the above and there is no indication on their weeb site that they offer anything for winter.
Also, FYI right now is a good time to go to places like Northwest River Sports (nrsweb.com) and pick up last year's models of good paddling clothes for a discount. The window will last maybe a couple of more weeks. Consider taking a look - if you are paddling from Detroit and north, dry wear is your future even for three season paddling.