Hi Change,
I don't think it's unreasonable at all

Nurses are at a premium and most companies know that most of us like what we do or we wouldn't be doing it, but we're not
entirely altruistic.

I see nothing wrong with asking up front what the compensation is and while I was at it, I'd ask about benefits as well! Others may have other suggestions, but this is what I did at my present job. I knew a lot of the details before I set foot in the door. Anything you can do online to find out more will give you added information with which to deal. There's nothing wrong with asking for information up front.
Good luck - you have nothing to lose!
Sue, at home with a cold