Is there a way to dump all of my crates somewhere and make some sort of profit? The steam market isn't doing it for me since my sell orders get quickly buried by other people who're trying to sell their crates.
Short answer: unfortunately, no, due to incredibly high supply and low demand.
If you really don't want to have them in your inventory, I would recommend just deleting all of the $0.03 crates and moving on with your life if you don't want to wait for buyers. The Steam Community Market adds your sell order to a global queue for that item sorted by price, then date listed so that the earliest listings get sold first; I've had to wait months for some of my crates to sell for a $0.01 profit. There's no harm in listing them on the Market to save space in your inventory, but deleting them is faster.
Some of the older crates can go for higher, meaning that you can list them on the SCM for cheap and sell them relatively quickly (e.g. Series #33 goes for $0.07 right now, so sell it instantly for $0.06).
If you really don't want to have them in your inventory, I would recommend just deleting all of the $0.03 crates and moving on with your life if you don't want to wait for buyers. The Steam Community Market adds your sell order to a global queue for that item sorted by price, then date listed so that the earliest listings get sold first; I've had to wait months for some of my crates to sell for a $0.01 profit. There's no harm in listing them on the Market to save space in your inventory, but deleting them is faster.
Some of the older crates can go for higher, meaning that you can list them on the SCM for cheap and sell them relatively quickly (e.g. [url=https://steamcommunity.com/market/listings/440/Mann%20Co.%20Supply%20Crate%20Series%20%2333]Series #33[/url] goes for $0.07 right now, so sell it instantly for $0.06).