Alright, I just want to make 100% sure that I understand this, I hope you guys don't feel like I'm beating it to death...

So, I have a C Major progression. I want to solo over it in C Lydian. Therefore, I'll use the notes in the G major scale (i.e. G, A, B, C, D, E, F#). Is this correct?

In my other example of soloing over a C Major progression in C Phrygian, I wasn't giving a real life example, just a hypothetical situation, but I guess the above example makes more sense musically.