Nothing beats a later game Random Things Player Interface hooked up to a ME Import bus(filtered to cobble, dirt, gravel, etc.), triggered by wireless redstone(hooked up to a Toggle Latch and with a connected Remote).I don't even bother with the extra Diggers, but that's because I play with the cheat-trashcan enabled usually: I just "delete" any extra cobble I don't feel like hoarding.
Decide to go mining or just have to clear out a lot of space? Get the Remote out, flick it and mine away. Every unwanted block is then instantly pulled out of inventory and into your ME network for processing, storage or deletion
Random Things also got the Voiding Drop Filter that can be set to delete certain items as soon as you attempt to pick them up. Just carry one set for cobble and it will all be gone. Put it in a bag when you don't want it to void any more.
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