I'm at a program set up a little differently than what you brought up, but still will provide some insight.
Men's head - 400/Hurdles/LJ/TJ/HJ/PV/Multi
Women's head - Admin and recruiting
Full time Assistant - Sprints/Strength and Conditioning
Part time Assistant - 800-10k and XC
Part time Assistant - LJ/TJ
Part time Assistant - HJ/Multi
Part time Assistant - Throws
Volunteer - Throws
Volunteer - Sprints
Volunteer - Distance
All of the part times/volunteers work a side job. They're around to get their feet wet in coaching and the assistants above them act as mentors/boss. Everyone on staff is an alum of this school, so we like to keep everything in house and try to hand pick who will be kept on staff after graduation. There is some overlap, but the way it is structured plays into the athletes hands. Have a more sprint based 400m athlete? He falls with the full time assistant. Have a freshman multi who needs a lot of technical work? He'll work with the men's head most of the time while the kids that just need reps will go with the assistant. Eventually as you start to develop your own system, your own group will form. I was lucky enough to jump right into that as a volunteer, but from seeing everyone else on staff progress over time, it does take a year or two to get something solid going.
Someone in your conference is probably looking for an assistant, even if it's just running the stopwatch for someone's workouts. Get in the door somewhere and build upward. You'd be very fortunate to walk into something paid in your first year, but if you do, it will be for peanuts. Staying somewhere familiar helps as you know the area somewhat and can maybe leverage your network to get something else for work at the same time.
Schools that load coaches on one event section usually dump all of their resources in these events, so they need a few more hands on deck to manage the larger crew. This usually means: 1-2 people writing workouts, 1-2 people running stopwatches and working with the more developmental kids. That's not always the case, but is what I've seen myself and heard from other coaches around the country. The other scenario is that each coach has a different event group they coach (400-800, 800-1500, 3k-10k). I've seen that done at a few mid majors and a lot of D3's.
Another thing I've seen is that two of the coaches will do the actual coaching and the youngest and newest assistant will do the recruiting and paperwork. Worst case scenario unless you like office work, but it does give you some type of hands on experience.