Thanks for the long analysis Vi. I don't want to take anything away from it, but look again at the stats and pre-flop action. An UTG open limp and a button limp behind from reasonably aggressive pre-flop players. I don't think these are Axo almost ever. Axs sure, pocket pairs, suited connectors/gappers, maybe offsuit connectors. So I think the hands that hit this flop in any way are:

1. Axs for TPNK
2. PP's lower than 77 with one diamond for a weak flush draw
3. T9o with one diamond for a weak but tempting combo draw
4. suited diamond connectors or gappers for the flush
5. maybe 88 for set

How do these hands play to a $50 c-bet? How do they play to a check?

If I had thought through this before I played, it would have changed a lot. That's the danger of playing 6+ tables for me... I don't think quickly enough to adjust ranges based on previous action. When I saw this flop I just thought, nut flush draw, get in AI, get it AI.