I have been thinking of you having your chords as text in Notes. Probably not ideal or is it just for reference?
As a PDF you could view it in Preview (do you have two monitors?) and keep the PDF in the logic project folder.
Or try adding chords into the score in logic via the midi file:
(only simple chords I presume?) set the style to practice, 1x repeat and export the midi file, import into logic and get Logic to analyse and create chord symbols. I have not tested this however, just a thought.
Here is a tutorial I found with the steps:
http://www.askaudiomag.com/articles/create-a-quick-chord-chart-in-logic-pro
It also outlines getting the chord symbols from the chord track to the score, which might be useful?