Richard,
Echoing Jim, I’m so sorry to hear about the circumstances which led you to this forum. You and your family are in my thoughts.
Jim is exactly right: a lot of people will likely reply, and point out that you had a choice to buy a refundable or non-refundable ticket. You decided to purchase a non-refundable fare because it was cheaper. The fare was discounted because you agreed to certain restrictions (including no refunds).
I suggest that you cancel and eat the penalty. As a business road warrior, I can only offer one modest alternative that should be used very cautiously. Unlike most passengers, you can keep your fingers crossed that the flight will be cancelled or significantly delayed (usually 1.5 hours). If that happens you are entitled to a full refund. However, I urge you to read the fare rules of the ticket that you’ve purchased. In almost all cases, you MUST cancel **BEFORE** departure time or else you lose your entire ticket. So time this out carefully. Further, some tickets are “use-it-or-lose-it”.
As a final thought, and in response to Jim’s suggestion, you may want to read this interesting article where Spirit Airlines “took a stand” (in their eyes!) on this exact type of situation last week.
http://ed.msnbc.msn.com/_news/2012/0...nes-greed?lite
Stay well, and we will be thinking of your family.
Best Regards,
Matt