I have a small fortune I abandoned on binance as they effectively froze my withdrawals pending identity verification.
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 you don't want to verify your frozen account, 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.
[solved]Thank you for the reply LoyceV. I would have taken you up on this a few days ago but I did find a solution. Kucoin seems to have everything I need to to this.