This is a searchable map and table of T&F coaches (head, asst & assoc, broken down by event groups) at public universities in states that publish public employee salaries (not all do). Data is about ~2 years old.
And the associated article:
One thing to be aware of is that many times the head coach position at a "powerhouse program" at a public university will be privately endowed, or paid by a booster. In those cases, since it's not public money, those coaches won't show up in the public employee databases. For some football programs, it could be the entire staff. Or, if it's a partial endowment, the public databases will show their nominal "base" salary but they make well more via the private money.