Vbion

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Perpetual Haste - massively speeds up
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Crafting and
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Fletching.
Aeris God Armour - ranged best-in-slot. This set is mandatory to idle the
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Water God Dungeon. You will also need 10 gloves to later upgrade them into the Poison Virulence Gloves.
Deadeye Amulet - ranged best-in-slot.
Deadeye Ring - you will need 10 of them to later upgrade into the Poison Virulence Ring.
Stormsnap - Situationally useful, but almost mandatory for farming the Ocean Song later.

According to the simulator:

If you want the full Armour set, then you need to clear the dungeon 91 times for 75% of that happening or 192 times for 95%.
If you want the full set and Stormsnap, then it's 277 times for 75% and 576 times for 95%.

Due to the Combat Triangle, it's recommended to beat the Air God Dungeon with

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because the enemies here are

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and

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Melee. The following build can idle the dungeon with

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Level 90

. Check your own setup with the Combat Simulator or Can I Idle to be sure that you won't die.

It is heavily suggested to use the Sandstorm Ring because it boosts your clear time by 20%. Other rings don't come even relatively close.

If you have FEZ (3% DR) use it instead of the Elite Amulet of Defence (2% DR). If you don't have any of them, use Gold Sapphire Necklace, but you really want at least Elite Defence to idle this dungeon.