The only chests that will ever have significant loot in them are the boss chests found at the very end of dungeons and next to dragon / power word locations.
For consideration, vendors didn't start selling ebony gear until about lvl 30. The scheme roughly goes:
LVL 1-10 Steel/Leather
LVL 10-20 Dwarf/Elven
LVL 15-25 Orcish/Scaled
LVL 25-35 Ebony/Glass
I am LVL 45 and I've found a SINGLE daedric item from some chest in a dungeon, and I've never seen any in a shop. The rest I had to craft with daedra hearts purchased from alchemists.
The base item doesn't matter so much as your ability to upgrade it via smithing. Unupgraded weapons of any class are going to be really ineffective.
Steam + PSN: PHJF