I have $70 worth of a weird token in a old paper wallet that has no ETH. How can I take it out of the wallet and sell it without spending too much in fees?

I'm a newbie in Ethereum transactions and currently don't have any ETH. I reckon I just need the ETH amount to send these tokens to an exchange and sell them, but Binance – the only one I have an account on currently – charges $20 to withdraw any ETH. Do any of you have any suggestions? Maybe an exchange that doesn't ask for confirmation of identity and accepts small purchages in international credit cards…

Edit: I'm not answering any DMs. I know the basics of how ethereum works. No scams please.