I am 99.9999999% sure that SW does NOT do bereavement fares. In my own case, I flew with them, but it's b/c I had a ticket with them for the following week to visit my mom (sigh). My kind sister in law called them and got it all switched for me.
I know you want to go there, but you said you're pregnant, and it's going to be a monetary stretch...I'm not sure people would fault you if you didn't go. I know from supporting my husband when his dad died, and from my own experience with my mom...it's the years after the funeral that count, not the actual funeral. Well, that's been our experience (for us, funerals are a special little bit of torture that we could easily do without).
I'm sorry to talk as though this is a "given"...I hope he pulls through most definitely! Just trying to give you the answers you need to help the burden a little bit.
Offshoot continuing....
Off the original topic but still not quite....when my best friend's husband passed away several years ago (this was my first first-hand experience with making arrangements) I was appalled at all the add on fees, such as being charged for multiple death certificates. Some situations called for the certificate for filing purposes. I took the original to KINKOS and made copies. Not one situation that called for the death certificate balked at the copy and not the original. IMHO the funeral parlors take advantage of emotions and charge for unnecessary add-ons. It just happened this past week with my daughter's godfather's mother's death. Sorry to rant but I hate greed....
Interestingly, AARP suggests buying something like TEN certified copies of the official certificate. Ridiculous. FIL was Buddhist and had no money or life insurance, and thankfully there's a mausoleum with a crematorium right here in town, so we cut out the middleman of the funeral home entirely and dealt with them. They *asked* us how many we needed; I think we cut it down to 3. They charged only the amount that the Registrar's office charged (trust me, we checked).
There were two places that needed a certified copy sent by mail to them (SS and pension, I believe), and we had to do things as FAST as possible so that MIL didn't miss any pension or SS payments (no savings, no nothing to help her), and we figured that the two could be sent out, then the one could be faxed to the places that were cool with a fax. Worked out really well. Sure, it was $18x3, but MIL never missed a payment at all, and got the SS "death benefit" within a month of FIL dying (something like $300...since the cremation was only $800 that was helpful).
I can't even imagine dealing with a funeral home. Thankfully everyone in the extended family whose "arrangements" I might have to take care of is Buddhist or otherwise fine with cremation, so hopefully I never will have to deal with one of those money-sucking places.