Experiences putting dog in cargo/hold of flight

My family are relocating from NYC back to London somewhat unexpectedly (visa issues). We have a 5 year old mini aussie shepherd who is pretty anxious at the best of times

We obviously want him to come home with us, but the only options seem to be $2k to fly in cargo on the same flight as us, vs $9k to take a shared private jet back (including cost of one person).

Hoping people can share some positive and negative stories from doing either of these to inform our choice – it's obviously absurd to be considering spending $9k on a flight, but if it's a choice between that and traumatizing him for life we'll probably just suck it up and pay

Or if anyone did anything creative on the NY-London route that they'd recommend, we'd love that!