Why would 2x5.75 be untouchable? Thinking outside of your usual "streaming dirt cheap options is the optimal set up" bit, of course.
and even if it was untouchable, you would have to come up with a new word for Price's 5x10.5 that would be left on it as of the day Seattle opens it's doors for business.
That's massively, massively bad. It's the worst contract in hockey, and by a lot. Not only is a huge contract for a player that can only be expected to play ~3/4 of your games, in this case it would be going towards a guy who is almost certainly to lose you a bunch of points by himself compared to an average goalie.
On top of, Seattle enters the league in an off season where there should be a bunch of veteran starters looking for a home. Rask, Freddy, Rinne, Binnington, Dubnyk, Raanta, Grubauer.
If you're going to bang a ton of cap space out the door to get a veteran goalie, I'm pretty sure you could spend that 10.5 a bit better on the names that are likely to be available.