I have to disagree, milwood.
When I take over a team (which isn't often because I tend to stick with what I've already got), I want to put as many of my players as reasonable on the team as soon as possible. I also detest taking walk-ons.
I'm all for increasing the limit getting scholarship money for seven or even eight players if you have the openings. Perhaps limit it to only in the cases where its a new coach, or only if it's a new coach who is taking over for a previous SimAI coach.