Hey @jnaughton29.
The issue with the game locking up or crashing after/during Legend Select is something that we're currently tracking. The Apex Legends team is investigating, but I'm afraid we don't have a time frame on how long it may take for this to be resolved.
In the meantime we've heard that alt-tabbing the game after selecting a Legend can help with this. If you leave the game alt-tabbed until everyone is in the dropship before bringing the game window back up it should let you drop and play the round.
Thanks for bearing with us on this.
/Kent