Supernova - I actually do almost the same thing. Only I usually stop after the 4th LC milestone in both chapter 1 and 2 and only run the character that doesn't require cocoa refreshes if I have them (and didn't for 1 and 2 this TC, but do for 3). And i still currently have only 3 cocoa...
This was a particularly bad TC for me. While I had the uncommon character for Turning Red, they used the Rare character for the main character (they seem to like to mess around on this in 2nd chapter lately). So that stunk. And although I had 5 NBC characters, only 2 were at all helpful in the TC. And I only had 2 of the refresher buildings. But, on the upside, I did end up with 2 characters in the sapphire chest, so that was a win (and easy to accomplish).