The only note C Ionian i mising is Eb in the Dm7 chord. Maybe there is a better mode, I couldn't find one. it have to be like...
C-D-Eb-E-?F?-G-A-B... too many... Should I just be paying attention to the chords as I-V-VII or Should it be I-III-V-VI like I am now, because that doesn't seem to work. The actual order is I-V-VII-III (the order ascending anyway If that matters at all...) so I don't really know how you go about matching something up to this...