I don't know much about visa sponsorship, but academics is often a fairly safe bet when it comes to that. There are many other non-academic jobs that will sponsor visas, but they're almost certainly going to be hospital-employed positions.
I have several former colleagues who have ended up at the University of Louisville and seem to be very happy with it! It's got some sort of a hybrid private/employed model. Plenty of knife and gun club/penetrating traumas there.
I believe they're making somewhere around $450K base pay. Not sure where they are capping out with calls factored in.
I think it's worth knowing in advance what kinds of issues you can expect with crnas. In my personal experience, it's very hit-or-miss. A few are great to work with, most are just fine to work with, and a few are terrible to work with (meaning, they defy your orders/requests to spite you, fail to call you for induction/emergence, fail to call you in intraop emergencies, fail to manage intraop problems, make completely unsafe and nonsensical decisions when you're out of the room, all while claiming equivalence). So when you're signing up to work with crnas, you have to come into it eyes wide open.