A second-turn Dwarven Miner means an almost certain defeat, since D5C may never reach four mana to cast Wrath of God. Wasteland is also very strong against it. A fast attack is still the most difficult strategy for D5C to deal with, even with Walls of Blossoms in the deck. If your opponent doesn't draw Wrath of God or Gerrard's Wisdom, or if you can stop those spells, you can win before the deck gets established. Creatures with shadow or flying allow you to ignore Walls, while River Boas may be able to islandwalk past them.
Creature decks that recycle cards from their graveyards can also give it a hard time.
A good permission deck may be able to out-counter the D5C deck, provided it can counter Gaea's Blessing. Remember that each Blessing can equal two more Counterspells for your opponent. If you don't have countermagic, you can try to stop the Donais deck from recycling its own graveyard. Phyrexian Furnace can eat the cards in the graveyard before they can be returned, and Ebony Charm can be huge if you manage to take out Gaea's Blessings. The early loss will leave you with enough time to sideboard and win the two remaining duels.