ill put my opinion in using the Reggie Evans example as a rebounding specialist on the toronto raptors.
I understand your frustration that you have players that you dont want shooting the ball, taking shots, and it would help if we were able to submit offensive options (#1 being your best scorer - #5 being your reggie evans) but because we cant, we would have to find ways to work around it.
This season on the raptors, reggie was given a primary role as a rebounder, and was completly kicked out on the offense. though making the raptors play 4 on 5 on the offensive end, there offensive game was styled in a way that reggie was not needed. Passing to the perimeter and driving/ shooting. Reggie even would come out to the elbow of the paint to wait for the shot, or to give the driver some space. and then crash the boards.
I know you dont want to argue, but it just seems like you need to take into account that you have a bad offensive player and you need to structure your team in order to play without them. experience and passing would all play a role in this, tactic would help too. and even reggie evans has taken quite a few late shot clock shots. The player usually would if they are wide open.