I think the place to start is Celsus. Celsus lays bear the question of Christian logos vs the logos of the world. The problem is that we don't know when he wrote his 'True Word' (the title of his treatise). The usual dates are the age of Marcus Aurelius and Lucius Verus or Marcus Aurelius and Commodus because of a particular reference which sounds like he was writing when there were two Emperors ruling the Empire together.What I'm looking for in Tertullian's work now, is an argument he gives that is more in line with a Greek logos kind of reasoning (I kind of hope to find that in his credo quia absurdum). I don't think I will find that, but maybe that should be my point?
Once you settle the issue of when Celsus was writing or take a stab at that you can - I think - take a stab at when Origen wrote his response (not a clear question because the text has been rewritten at least once by the admission of the 'narrator' (could be the voice of Origen or Eusebius IMHO). You see it is very clear that the work in which Celsus's True Word survives (Contra Celsum) was used extensively as part of Eusebius's own response to paganism in the early fourth century. This is well established. So we are dealing with a possible early fourth century revision of an earlier (possibly late second to mid third century) response to an original pagan work written sometime in the second century (i.e. either c. 161 or 176 CE).
Celsus himself seems to have had access to a Christian work which makes reference to Jesus as the true Logos. This is likely either Justin Martyr, Tatian or Clement of Alexandria (cf the Exhortation). Parts of Clement's works sound like responses to Celsus too.
So once you establish that there was a Christian-pagan dialogue in the latter half of the second century about Jesus as the 'true Logos' I think you can attempt to bring Tertullian into the discussion.