Shucks, those pictured tires have knobs everywhere. Makes me wonder if a smooth treaded tire 30-32 might fit? If 27/28mm with ti frame are not smooth enough for one's paved streets, then try a very high end, high tpi, supple tire - before moving on from one that fits. If that makes a big improvement and $$$ is not a problem (and the bike style fits your usage), then consider a wheel upgrade.


Otherwise,
Commuter tires in bicycle unfriendly urban areas are important. Maybe a sport/race position is not optimal for everyone. I vote that the ultimate best solution is new bike, given all the new needs.

my new road bike purchase will take 40mm, 35 with fenders/flaps. Disc brakes will do that.