MAYE SITS OUT UNTIL AFTER THE BYE
If the plan is to have Maye sit out until after the bye, then we should keep Zappe or sign another veteran backup. Cutting Zappe and having Maye #3 until the break would mean that Milton would be the first off the bench if Brissett is injured. I don't that the team is ready for Milton to have that much playtime, even if they were to immediately sign a veteran if Brissette is injured.
First off the bench until the bye is a role for a veteran quarterback.
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PLAN FOR MAYE TO COME IN FOR GAME 5 or 6 IF BRISSETT STAYS HEALTHY
Now, I think that Zappe could be kept until the final cut in case Brissett is injured and then deal with any Brissette injury in Games 1-4. Milton could be the #2 for those games, expecting to lose if he comes in. Maye could be the #2 with a very limited game plan, with a veteran immediately signed for a few games if Brissett is injured. Also, our PS quarterback could be that #2 if Brissett is injured.
Of course, a Brissette injury could cause the team to start Maye in say Game 3 instead of waiting until Game 5 or 6.