Shamash has blob eat on burst (!!) and Atum has a single source heal (~5k or so) and Vigor buff (+50%) on burst. Combine either/both with Michael and Tishtrya to keep them going can be a potent combination. That gives you one heavy hitter a (Vigor/TA/Crit/ Counterattack) buffed Shamash or, if she's doing well on life, you can try buffing others with Vigor as you go through each full burst.
You can rotate Eros out as needed on heavy affliction content (as it's hard to have room for Sol these days). Another option with the Shamash and Mich/Tish combo is to add Vishnu instead of Atum as she generates a 4T barrier on burst (Shamash also draws attacks) which can swap in a 2nd heavy hitter. That drops the Vigor buff and the 5k solo heal from Atum, but adds the second big hitter and makes the team even faster. Or if you're aiming for DEF down, you can add/swap Lugh/Tsuku/Arty to the choice. I believe that Tsuku is a weaker choice compared to Lugh and/or Arty, but will work to meet the DEF down cap.
Depending on what you have and the content you're facing you can switch Himes out and in as needed. Building 'content' specific teams is how Light overcomes difficult content. Wind does this also very very well. The biggest issue with this gameplay, as opposed to the get the few borken Himes for you element, is that you have to build specific rosters (I have four dedicated rosters atm, but am trying to find a 5th slot and different Himes) and then you will also have to farm enough accessories and magna for all of those teams. Some elements can get away with the '4 best Himes EVAR!!' and that makes it cheap to keep them going. I'm struggling to get my wish list below 7 or 8 foundational Himes. Mike and Tish are in almost every team, but the others rotate as they're needed. I see a lot of Light Rag farming in my future...
Dejnov.
P.S. Keep forgetting about Iris and how she'll change the game... just a couple more months...