Heath check range service about 1000 port

The way we did this to monitor 4000 ports was monitor 1 or 2 with a monitor and that's it.
We found that when creating that many vs's and pools thrashed the BIG-IP.
But actually the breakig point was the monitoring tool that couldn't pool that many vs's / pool's quikc enough!
But i would recommend talking to you software engineers, we had it documented that if one port goes down they all would, so monitoring 1 or 2 ports was just as strong as monitoring all of them.