No, unfortunately you won’t be able to do that. Breez and Phoenix are both great choices for a pure non-custodial Lightning wallet but they don’t have the additional features you’re looking for, to add a Lightning address or to link with third-party services.

You can use BlueWallet with Alby, however. Just import the wallet using the same method as with Zeus. The interface is different, but it will work in a similar way.