Looking to buy a road bike to ride on pic related. The trail is 30 miles (15 miles one way 15 miles back) and the entire thing looks like the image. Paved the whole way.

I currently ride this on a Trek Marlin which is a hardtail. My average speed is 13.8 mph and it takes me ~2 hours to complete the ride.

Will switching to a dedicated road bike significantly raise my average speed? I'd be very happy if I could cut the ride down to an hour and a half if possible.

Budget is ~2000 USD. Can go to ~3000 USD if the price difference is truly worth it.

BTW my dream bike is a Bianchi Aria Centaur. If I could easily obtain this in the USA I'd buy it but I can't find it anywhere. I only want it because I think it's beautiful, I have no idea if it's a good bike.