I was only running the Red Raid (I have like...7 Divine Souls), for the guaranteed SSR Eidolon at 150 Devil Souls. I've since switched over to the Blue Raids, for the Divine Souls, as well as earning more of those blue tickets for the gatcha.
As for MVP'ing, 90% of the time I'm either Top or Runner-Up MVP. I don't Auto Battle with my skills, since it slows down my pace. Much faster for me to manually input everything. :/