Thank you jerry!

Yes that's a great summary (I admire your skills narrowing my small novel down to a single question!). 

She has been doing better with less weight, but the hips are still an issue. When I got her, she pretty much laid around all day, now she does run and play, but with a slight limp (before the ligament tear). She's always struggled and whined when laying down or getting up or if she bumps into something, and you can tell it's really sore in the evenings (even on galliprant). She also naturally sits with her right leg under her to keep that left leg from bearing weight. It's always been immediately obvious just looking at her that she has some leg and mobility issues.

Unfortunately, I don't have the x-rays; I'm trying to get my vet office to send them over (I think the doctor is actually out of town).

I'm kind of at a loss now. I visited a different vet today (mine is currently unavailable) to get more ideas on what treatment to pursue; they were not as helpful as I had hoped. Again, they suggested repairing the ligament now, and performing the FHO a few months down the road. I explained that first, I have no way of paying for that (going through a divorce and living with my parents atm), but I was also concerned with the recovery. We are looking at months of recovery and I'm gone for work up to 15 hours some days (my parents keep an eye on her, but during recovery would be a lot to ask). When I asked them about the possibility of an amputation, they told me it was an option, but they wouldn't recommend one since the leg can be fixed surgically, and they worried about future soreness in the other legs that would have to compensate. Their other option was to just treat with medication and wait for now until we might be able to do surgery, keeping her activity lowered. Being part husky, you can imagine that she's an active dog; I worry about further injury...not to mention she is still in some significant pain even on medication. I can't really imagine waiting on this.

On the way home (complete emotional wreck), I hate to admit I had to finally consider the option of euthanasia. I'm just horrified and angry at the idea; I think it's completely stupid since she is such a great dog and otherwise in good health, but she's in considerable pain, and it's affecting her ability to run, jump, play, and just be Astrid. I will of course avoid this option at all costs, but I need to figure something out that alleviates that pain.

Maybe I'm being unreasonable, but I'm still really favoring the amputation. I understand maybe it will make her other legs sore as she gets older, but she's in pain right now. She's also already only operating on three legs so we don't do anything to help by waiting (soreness will happen either way, why suffer with the bad leg).

I apologize for another long winded post; I'm worked up to say the least. I'm not sure what anyone can offer in the way of advice, but am I pursuing the correct course?

Thank you all so much for the support and thank you Dr. Pam for the help! She is currently on both gabapentin (2 x 100mg tablets every 12 hours) and galliprant (1 x 100mg tablet every 24 hours). We got new xrays today and I will upload those as soon as the vet sends them over. The left leg is pretty nasty with the dysplasia (looks like even a bit of possible fusing); the right leg is showing some light signs of wear though looks far better for the time being (and again, I will upload these as soon as I'm able!).

Today was SO much better. I found an AMAZING vet...well worth the 3 hour drive round trip to go see her. Within literally three minutes of meeting Astrid, she discovered something that none of the other vets had: due to her chronic limp, Astrid has very little muscle in her left leg. Because the Femoral Head Ostectomy relies on muscle to function, she told me she didn't think an FHO was even possible for that limb (this is a huge discovery for me since we've planned for this for 2 years). She advised that, since the hip was a minor source of discomfort, we should forgo dealing with it for now and focus our efforts on the ligament that's clearly causing severe pain. With this discovery, she was the first vet to seriously consider the possibility of an amputation; it was of course not her first choice as she felt it was a bit of a gamble, but at least reassured me it was far from an unreasonable thing to investigate. Her worry is that the xray did show some light signs of dysplasia in the right hip, and that on three legs, this could be more problematic down the road (she couldn't tell if the hip would go bad in 5 months or 5 years). She recommended some different strategies to combat the pain and hopefully strengthen the leg, some different types of medications that could alleviate pain, products that could improve mobility and therapeutic techniques to employ (she was incredibly sympathetic and understanding of my financial and living situation). She said the goal of these treatments was two fold; try to reduce pain and improve her mobility from the left leg, but also increase muscle mass in her (pretty) good right leg. This way if we did perform an amputation or ligament repair, she would stand a better chance of recovering.

The (horrible) journey is not over, but this was a huge boost to morale. I'm able to accept the reality that, while this is not a fixable problem, its one we can improve on enough to hopefully provide Astrid with a few more quality years!