All airlines are supposed to deny boarding if you don’t have an onward ticket. In reality, some agents do and some agents don’t. Personally, I’ve been asked and not been asked. I’ve also heard that some agents don’t accept an onward bus or train ticket. That doesn’t make sense, but it’s possible. Most people “rent” an onward ticket from onwardticket.com or one of their competitors. It’s a real ticket that is automatically cancelled the next day or two. $15US or so.
It’s likely, not 100%, you will be denied boarding without an onward ticket within the 60 day visa-exempt period. You should consider “renting” an onward ticket from onwardticket.com or one of their competitors. They are typically $15US and, if purchased just before you leave, are automatically cancelled after your flight.