Except you'll have to spend way more than $100,000 to incentify US citizen from a city to move there and stay.

And they not gonna have the same near slave H1B conditions where changing their job is just impossible..

H1B workers in IT even have an option to find a new visa sponsor, but nobody needs foreign teacher with H1B in California or Texas or basically anywhere else.

I have to wonder if some kind of fly in fly out arrangement like is used for a lot of other jobs in undesirable locations would work. I've got a friend who's a nurse/paramedic in an indigenous community in the australian outback, and he works 6 weeks in the community with a per diem and company house, and then has 6 weeks to travel or live in Brisbane between stints. A school could do quarterly swaps of teachers, so there's a Q1/Q3 teacher and a Q2/Q4 teacher each working 9 weeks at a time.

$100K would certainly garner tons of prospects. Rural schools around me only pay $30K