Maybe move to another mine instead of camping that one ?
All advices SO NICE, but you all better read first message twice. Didn't asked you how to transport 100500 ore. Didnt asked you "how your balls became steel on the level 1 and it let you travel across wastelands alone". Can someone exactly say HOW LONG NEED TO WAIT this depletion wear-off? Cause if it about many hours then it is not for me. And who can guarantee me that other mines isnt depleted too? Noone, i think. Better read and think about you read, and only then answer.
Make high carryweight chars for each mine (junktown, klamaht, ncr, sf). Put them inside the mine and create a tent outside the mine. Then keep fast relogging on those builds to see if there's any materials inside. Name the chars in such way that it's fast to write their name. Example Miner1-5. You only have to change the number behind the name.
Don't shoot the messenger please. It's not the players' fault if the game encourages "lame" methods to achieve their goals. If you were a beginning player, would you like to get stuff quickly or slowly?