Bummer that you don't have a class available locally. When I brought my Tri home, yeah the first few turns were a little pucker-y. I had 3-wheeler ATV's back in the '80's, so I was fairly comfortable on the Tri, but you can't kick the ass end out on the turns like you can in the dirt. After going thru the class, I was feeling a lot better. They had a couple loaner bikes, one was a Ural with sidecar. It was fun flying the sidecar around the circle. With the ATV's we got so we could ride on 2 wheels a long ways, the big fat tires made it easy. Ain't trying that on the Tri...
I took the Three Wheel Riders Course last summer, it was sponsored by Can-Am. Just went to their site, then choose my state and select a location closest to me. What was nice was for registering with Can-Am they gave a hefty discount. Two day course only cost me $75.00.
We has a session on leaning (always heard ya didn't lean on a trike).... we road a oval course right to left, then left to right, four laps ever increasing speed and we had to lean aggressively to our left and right. What a hoot! Completely surprised me, but it works. That's not how I ride day to day, but nice to know there's a technique I can use if the situation calls for that. I certainly got my monies worth and then some.