IS there a way to allow our receptionist answer ringing call of other users/common areas?

Currently, our POTS provider has a switchboard for us which handles calls. This allows our receptionist to see which lines are busy and answer a ringing call for any phone within the organization. BLF covers the first part. The second seems to be more complicated.  We’ve tried call monitoring and call queues but they’re not quite what I’m looking for. 

There isn't an option to answer a ringing call with monitoring. Call queues rings all phones at the same time which isn't ideal for our scenario. I basically just want the receptionist to be able to see a line is ringing and if she knows it's not going to get picked up she can answer it herself. 

For example, if my phone is ringing. The receptionist and see that my phone is ringing with BLF and knows I'm not available to take the call. She can then take the call for me.