Hello,
It depends on the school district, but in my experience, most Bush jobs posted - no matter what the listing says - are "open until filled". In other words, they want the right fit, and if they find it, they will fill the job. If you have a strong preference for a specific district or school, and you get an offer...I would take it. No matter what time of year it is, you have no control over any potential better jobs may or may not be coming open. Bird in the hand...
Also, there is no second guessing yourself. Is it the best POSSIBLE fit? Who knows? Nobody knows. All contracts are a year long in Alaska. In reality, more like 10 month, or a 185 work days. You can do that standing on your head, and holding your breath.

I know many, many teachers who passed up a contract offer, and then regretted a day later, or a month later. Nobody in 2020 is "holding jobs open" for a job fair...trust me. Fifteen years ago? Maybe. Not now. They are going to hire the first well qualified candidate and seal the deal. So should you IMHO.
Regards,
John