Might be a bit long winded, but something you could maybe try to test this out.. Ignore the numbers I include as its just an example:
Reception console has a softkey DN of 5010
Create a new ring group with a pilot number 5000
Add your deskphones to this ring group
Create a dummy trusted extension on the system, say extension 5001. Go to call rerouting and use the always alternative form, choose a free entry. Say always alternative 3, set this to always reroute to 5010. Then go to the call rerouting for extension 5001 and set the day, night 1 and night 2 routing to always alternative 3. This will mean that whenever 5001 is dialled it will go through to 5010.
Add extension 5001 to the ring group 5000 along with the deskphones.
Point your external number or whatever you need to that ring group, hopefully all required devices including the console will ring at once.
Just something to try