Your criteria pretty much puts you at the top of the heap as far as price and features. You've got the highest fill you can normally get, and GTX will double the price.
Patagonia makes a hooded GTX down jacket. The Primo I think it is. Patagonia isn't the most hunting-friendly company if that matters.
I have down coats, but I don't hunt in them. I'm a synthetic fan in hunting roles; but I live in a wet place. Down is smoking hot and lighter. There's no debating that. But I stay plenty warm in synthetic coats and I don't freak out if it starts to rain or get wet. And they don't break the bank. And no, they're not rated like bags are.
Mountain Hardwear makes several down and synthetic jackets. OR makes a down/waterproof jacket, but it's "only" 650 fill. Like I say, you've pretty much maxed out the options on a down coat, so you'll have to pay for it.