100k for a 60 hour workweek is not big bucks. Not these days.
The government probably figures it's cheaper to pay someone overtime to get the work done, than hire someone and pay a salary plus benefits. I worked for NY State, and most jobs that existed had to be covered by overtime if someone called in sick, or there wasn't enough extra staff on duty that specific shift, to put in that position for 8 hours. That was the State's prison system. Some jobs they would close down instead of hiring overtime, and would force people to double up on the areas they were responsible for. For quite a while, when I was the Kitchen Sergeant, I would be the only supervisor in the prison, in the mess hall, covering the morning meal, simply because the State had proclaimed zero overtime.
Nope, unless you live in the rural areas in south or midwest