What you propose is equivalent to trying to do cryptanalysis without any cipher text or other material.
Equivalently, you could just take the small plaintext seed that you know, and nothing else, and run it through a probabilistic language model to predict the most likely message. (e.g., a Markov chain text generator). Obviously, it doesn't get you very far...
Consider for example, that one knowns the plaintext "attack at d___". I for one would be reluctant to userely entirely on a language model to decide if I should ready my defences for "dawn" or "dusk".
The key point here is that, all things being equal, access to the OTP-encrypted cipher text gives you no new information (beyond perhaps an upper bound on message length).