Hi, and congrats on entering the world of aircraft ownership. I fly an LAA administered tail dragger also and its the only way to arrive.
I've flown a tailwheel Thruster and its just too easy, you simply don't need any instruction to be safe in one of those. I would suggest getting a few hours in something that actually requires a bit of learning. A Citabria is probably a good idea, but a Cub or similar is probably just as good. I did my NPPL SSEA rating on a Cub in order to get signed off on tailwheels at the same time. Do get instruction on landing on hard runways if its available.
Another way of doing it might be to get an hour or two in a Cub, and then get a sympathetic LAA coach to take you through the rest of it with extensive taxiing and 'supervised solo' flight in your Turbulent. It would save you a good deal of money and provided you're not ham-fisted you'll probably be alright.