Watch the The Whole Fretboard: Lydian online guitar lesson by Robbie Calvo from Power Play: Major
Improvise using pace, dynamics and crescendos over the 4 Lydian key changes. Try to target the #11 if you can to pronounce the Lydian flavor. Remember also to resolve your phrases to 'Sweet Note' chord tones. You have the entire fretboard now to express yourself. Try phrasing simple ideas that build to a crescendo in each of the keys. Once you have completed a full track (4 sequences) take a break. Get up and move around, stretch and clear your mind. These exercises are very intense so make sure you don't over do it.