How can I safely swap $200k worth of BTC to USDT via Ledger

Looking to swap about $200,000 worth of BTC to USDT safely, without triggering account freezes or delays like many users report here with Changelly/CIC/the rest.

I am not cashing out but moving funds to a cold wallet. I want to avoid internal flags or automated security checks that could stall the process. Prefer to steer clear of third-party platforms with a history of issues.

I’d appreciate concrete advice or recent experiences from people who’ve executed similar transfers smoothly and securely.Advice on fees is welcome too.