My understanding about wire transfers is that the risk is on the sender rather than the receiver. So if they can wire money, either ACH transfer (yes, they need bank info) or moneygram/western union, you, the receiver, should be safe. I would ask for them to offset the fees though.
I have never "wired" money directly through a bank, so I really have no clue how that works, but you could always make a burner checking account for an ACH transfer.
eventually a 1969 Mustang Fastback--been in hibernation since 2011 due to school...
Now the time has come to resurrect her once and for all!
Currently on a body cart with a finished undercarriage.