But you would still have to check them frequently to know which ones you needed/wanted to re-sign, no different than now.
To me, the best option is just looking at your roster using the player contracts view.
If players eligible for a new contract were highlighted in some way, you would still need to do this.
Let's say you sign a new deal with a player. They would still be highlighted, so you'd need to check them again over and over (unless you could just remember all of them, which I couldn't).