Nice!! since some transactions went to exchanges, perhaps this is enough to contact them. Have you already tried reaching out to them? The odds aren't favourable for recovery but might as well exhaust all options available to you.
Binance will not take action without a supporting court order or a report by law enforcement where the exchange is being instructed to freeze the funds. If that wasn't the case, people would try to abuse the system and report people they don't like or have a grudge against if they owned Binance accounts.
Reporting the incident to law enforcement and waiting for them to take action is sadly a slow process but one that is needed in cases of theft.