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A final tech that can shut down True Draco, especially the variants that dont use Windwitches, is Magic Deflector

I'm specifically looking for cards available in that period (for example GX characters have access to all cards printed in the GX as well as DM eras, but not 5Ds)

Volcanic Shell effect activates in the graveyard, and could be sent from deck to the graveyard by the opponents Kelbek the Ancient Vanguard or Agido the Ancient Sentinel effect, allowing you to get a free card off it

If it gets destroyed, it also cleans the field of all your opponent's monsters

Not technically, but you probably do need sleeves for Magic cards

(draw) I summon Elemental Hero Clayman