I guess I did it already... kind of...
I just got back from a couple weeks of being in AK and doing a remote float/fish/scout trip. I left on June 30th and came back on July 17. I went to a local about 56 hours clinic before I departed and they emailed me the results as I landed in Anchorage. I paid for the tests and they said they would arrive within 48-72 hours and they did.
Once you get there, it was a really simple and easy process. You get on your phone when you get there and fill out the form, then you show them your results and after that its like going any other time. It went so much smoother than I expected and I was worried about it, but now I know it was all for nothing. They were still testing people at the airport who agreed to quarantine until the results were in, but apparently that isn't going to happen anymore.
We got a voucher to get tested after 2 weeks in AK (not sure if this will be in effect with the new rules). You can do it at several places in the State or at the airport.
The only thing I caution is that there are towns and villages in the State that have their own rules and you need to get a permit ahead of time to travel there. If you get off the plane without it, the police greet you with a $1000 fine (i.e. Dillingham). I saw it happen. They don't tell you you need one when you get on the plane to go there and several people were surprised, pissed, and $1000 poorer when they landed.
I wouldn't let this scare you off, but you'll need to plan ahead. If they prohibit travelers from other states, then it doesn't matter anyway. I hope it works for everyone who plans to hunt there.
On a lighter note, I saw 3 awesome bulls. That made me happy.