Also there are private keys here and there on the internet with for ETH wallets full of tokens and with 0 ETH on them. Usually "shown by mistake".
As soon as you put ETH there so you have gas for withdrawing the tokens, a smart contract sends your ETH away.

I don't say that OP wants to scam, I don't know. But I also believe it's a weird proposal.
I suggest OP to sell the tokens that have any value and that's all.