Here's what you could do, but be very, very careful, and be sure to test the living hell out of it before actually putting it into service:
Create a route list for your emergency calls, with the first choice and second choice being the same TG, but use different COR groups.
In the first route, allow all stations EXCEPT the console in COR Group assignment. In the 2nd route, allow all stations, INCLUDING the console. Flag ONLY the 1st route/set of routes (if you have more than one, which for 911 is always a good idea if available) as Emergency.
This way, COR blocks the console from hitting the Emergency route. The console is allowed to use the same trunks, just not on a route marked as Emergency. Therefore, no alarm on the console.
Again, be EXTREMELY careful implementing this, I suggest setting this up on a test number first, and making lots and lots of test calls to make sure it works the way you want.