That's unfortunate, because Binance is the first thing that came to mind for exchanging such an amount (without KYC).
I'd even consider exchanging it by myself, but if the source of the coins is the reason they froze your account and you don't want to verify it, I'll run the same risk.

For BCH, you can try many smal transactions using CoinPlaza (referral link in my Mobile signature) or FixedFloat. CoinPlaza allows up to 100 euro per day without KYC, I don't know the limit for FixedFloat.
I wouldn't mind doing this (for a fee), but it's going to take a while (so the exchange rate may be different by then).
For BSV, I haven't found a trusted exchange that accepts them.