So just to clarify, the QSC Core 110f is NOT a Dante device. It can talk AES67 but you need to check if you Dante devices are able to run AES67 mode - not every device manufacturer has updated / enabled that part of the firmware. The Core 510i can support native Dante with the relevant card installed.
One option that you might look into if this is a complete overhaul is just going for Dante PoE speakers. They are out there and while they can leave a little to be desired in high fidelity environments, they would be just fine for paging and show relay. The advantage of this option is that you could setup your multicast flow for each theatre and then just use Dante controller from anywhere on the same VLAN / subnet to reroute which feed a room gets today.
Biamp also make some equally robust products as QSC - the TesiraForte Dan series may work in your application, with similar I/O counts to the Core 110f
One option that you might look into if this is a complete overhaul is just going for Dante PoE speakers. They are out there and while they can leave a little to be desired in high fidelity environments, they would be just fine for paging and show relay. The advantage of this option is that you could setup your multicast flow for each theatre and then just use Dante controller from anywhere on the same VLAN / subnet to reroute which feed a room gets today.
Biamp also make some equally robust products as QSC - the TesiraForte Dan series may work in your application, with similar I/O counts to the Core 110f