OK then, that clarifies your objective.
So here's lesson number one: OTL tube amps are usually cathode followers for headphones (like Crack), or push-pull with tons of feedback for speakers (pretty complicated for a starting point). Amps with output transformers are usually common-cathode amplifiers (SEX, Mainline, and our various speaker amps). It's not just OT vs. OTL, in other words.
The starting point would probably be the Quickie, which is a common-cathode preamp. It's cheap enough to experiment on without worry, you can't shock yourself because the voltage is pretty low, and it's simple enough to make the changes clear and understandable. You can probably drive 600-ohm phones with it, though it won't be optimal sound. Several people have added an output transformer, enabling it to drive sensitive low-impedance phones. At least one or two have converted it to a cathode follower. And the follower version can also be connected to an output transformer. And you can experiment with series feed vs. parallel feed, and try resistor plate loads or choke loads or current-source loads.