Hey fxdude,
First let me say that I'm a little jealous that you got to go on their brewery tour! That would be a fun (and delicious) one to tour...
That's a good question about the oak provided in the kit. The oak is actual chunks from used bourbon barrels, so will add some bourbon/oak flavor and aroma. Soaking them in Black Tuesday might be a good addition, especially because you have some available, however I'm uncertain how much of that you're going to get in the final product. Depending on how much Black Tuesday you have, it might be better just to enjoy every ounce of that, rather than spending some on your oak chunks.
It's my understanding that they use used bourbon barrels for one batch of Black Tuesday, then after that batch is done they fill the barrel back up with Tart of Darkness, but if anyone knows differently please feel free to share!
Hopefully the kit turns out well, and please let us know if you end up soaking the oak chunks in Black Tuesday fxdude! If you do this, just remember that the beer/oak should not be left out too long, or else you'll pickup some unwanted yeast/bacteria that could do more harm than good...I'd do it in a sanitized mason jar and seal the lid right after pouring in the Black Tuesday.
Cheers!