+1 a cyclo cross style bike will fit your needs perfectly. And if you have the budget, do a custom build.
I commuted for years on a hard tail mountanbike with slicks (that's all I had), then on a racing style road bike. Eventually I discovered all the things I needed in the perfect commuter and went out and built up my Cross Check. My commute is very similar to your's only about half as long. I went with a single speed but I think if I was riding 30 miles a day I'd recommend multispeed (I'd probalby run a 1 x 9, 42T front, 12-25 rear, with one barcon, I like things simple). Becuase your route 30 miles all paved MUP I'd recommend you run thin tires (25mm max). There is no need for fatties on that, but you have the option with that frame. Switch them out for the winter if you want. I run Nokian studded 35mm in the winter, 25mm T-servs the rest of the year. Drop bars for sure, and cantilever brakes so you don't have any clearance problems with your fenders or switching tire sizes.
The Cross Check is a great frame for versatiltiy and customization. It's not super light, it's not super stiff, but it's a joy to ride everyday as a commuter because it does exactly what I built it to do: get me to work everyday with a smile on my face. If you can, I highly recommend the build one for yourself approach.
Good luck