At the risk of massive oversimplification, C1 is mostly "bottom work" while T1 has both "bottom work" and "mid-water work". T1 lecture/review time also has to cover both skill sets and decompression. But both classes run about the same length. I'd suggest C1 and then T1. YMMV.
The limited exposure you get to line work in Tech I or even Tech II is not really sufficient for even the most weeny wreck penetration. It is not a line work course. It is just an introduction to show you how much drama and task loading it can add to an already "exciting" situation. Couple that with deco and a ticking clock and you are going to go into "heavy drama" mode very quickly.
To the OP, you showed the patience required to develop the skill set necessary to get a tech pass in Fundamentals. I suggest you apply that same patience to further training. There is no quick way to do this stuff and I don't know of anyone going from pre-fundamentals to Tech II in less than 2+ years. And for him he averaged about 300-350 dives a year all over the world in both warm and cold water environments and was very focused. His wife was very understanding about missing the house renovation and enjoyed the travelling also.........
Relax, enjoy the learning curve and you will get there. Doing this this stuff at a sustainable pace with comfort and a growing skill set will mean huge payoffs in the end and very little drama along the way. I believe in the view that while the hare will sometimes cross the finish line before the turtle, the turtle always makes it across the finish line, while sometimes the hare gets........'distracted'.
Guy