Save. Purestock/Purestock/Getty Images. Last-minute flights are expensive and when you have to book quickly to get to a family funeral or rush to a loved one's side during a terminal illness, it can be hard to find an affordable fare. Few airlines still offer bereavement fares and you'll find the discount isn't huge.ave. Purestock/Purestock/Getty Images. Last-minute flights are expensive and when you have to book quickly to get to a family funeral or rush to a loved one's side during a terminal illness, it can be hard to find an affordable fare. Few airlines still offer bereavement fares and you'll find the discount isn't huge.