Commuting can be hard on a bike, but I'd get whatever you want.
A lightweight CF bike just feels good. I'd only go CF if you have good secure indoor parking at both ends.
As others have mentioned, it isn't a bad idea to try the commute on your current bike to get a feel for the roads, potholes, chipseal, etc. As well as your parking. That might play into your ultimate decision of what kind of bike you want.
26km=16 miles. If you keep moving, you should be able to do it in about an hour each way. If you get better, you may be able to cut it slightly below an hour.
Oh, also keep in mind that the new bike market is a mess now. You may be able to find what you want on the used market, but even that has gone a bit bonkers.
Fenders? Perhaps fenderize and add a rack to your Da Vinci, and ride the new bike on sunny days.
Oh, I wouldn't commute on carbon rim brakes. Although, perhaps carbon disc brakes.
I personally am happy with a small pack. And, have tied shoes to the outside of the pack at times.