Let's assume it's 3 impact players- maybe not all stars but also not 0 to 0.5 WAR guys either. Let's say they stay for their full team control years, including their arbs, which may become expensive but won't reach FA value, unless you're JBJ. Let's say that's 5 years. That means those 3 are "cycled out every 5 years with the new 3 coming in. That's just 15 players at any given time giving meaningful value to the 25 and soon to be 26 man roster. The rest would have to be free agents. 3 is actually too low a number. 4 would mean we'd have around 20, at all times, and would only need 5-6 free agents- maybe some at a low cost.
While Chavis, DHern, Taylor, Shawaryn, Kelley & Lakins might total 6, but let's not kid ourselves. How many of these guys from this years "crop" will become meaningful players over the 5 years fo their team control? Maybe 2? That might be generous.