@obsidiman - the Halls Of Glory side quest is easy and doesn't take any energy. I used a 4* Hulk and cleared the Hard level with no problem.
you can use Hulk, iHulk and Joe Fixit, probably Hulk Rags and Overseer too. Just slap them in a team and stomp through an easy daily quest a couple times.(bet the other ones are Iron Man OG/IW, SIM and Hulkbuster and Cap OG/IW/WW2 and Civil Warrior)