Watch the V - IV - I Mixolydian online guitar lesson by Robbie Calvo from Modal Expose
As you know I like to open my solos with strong chord tone licks. In this example I start the solo with an E major triad idea. I then repeat those ideas to create memorable hooks. I ended the second phrase with a double-stop sixth resolution, B and G#.
As the solo develops I expand the arpeggio ideas by utilizing E7/E9 arpeggios. This adds D, the b7 and our mixolydian characteristic note. The note D is not in our chord of E but this approach still works as we are hearing a strong sense and presence of the V chord.
You may know that some great double-stop sixths can be found within the framework of the arpeggios too. I used some R&B flavored sixth lines to outline the E, remembering to phrase them for solid resolutions when the E chord comes back around.
This progression was so nice to play over as I really didn't have to worry too much about coloring the other two chords. This gave me the freedom to play the nice E9 arpeggio lines providing I played and phrased them to resolve when the E chord was being played in the harmony.
Try crafting and recording a solo over this groove for yourself. Review each take and ask yourself if the phrasing, resolutions, hooks, dynamics and pace are all what you'd want to hear. This is a great way to develop your own style and personal voice on the guitar. Be vocal.