Not sure why you're started to be an Ethereum whale when the token is centralized and AFAIK there's no ERC20 wallet support run over Tor browser, so when you're use less privacy browser, you're not actually anonymous.
As you have mentioned before your choice is using low liquidity exchange (DEX) but the fee is quite friendly if someone willing to trade 1:1 or just choose instant exchange where you will pay high fee.