Not a novel, but novel:

Roadtown
http://www.notechmagazine.com/2009/12/roadtown-a-railway-in-the-basement-a-promenade-upon-the-roof.html

The New York of Robert W. Chambers' "The repairer of reputations", is an interesting case. It's anti-Semitic, Jingoistic and whatnot, and it's the setting of a horror story, but it's supposed to be utopian nevertheless. It can be read online here:
http://www.yankeeclassic.com/miskatonic/library/stacks/literature/chambers/stories/kinginye/repaire1.htm

A few here have mentioned KSR's Red Mars (and by extension his Mars trilogy, wherein Mars-as-utopia finally happens near the end), and Starship Troopers.

Much as I love both, KSR's Mars trilogy is a perfect example of the species of "hard sci-fi" wherein the scientists somehow become political leaders and national heroes as well, with total control over the state budget to actuate every cool trillion-dollar project that Saxifrage Russell thinks might be a good idea. The wish-fulfillment quotient for the science-loving reader is what makes such books sheer political fantasy, masquerading as sci-fi.

On the other hand, there's Starship Troopers: required reading for the Marines, and seemingly read by just about every military person who reads for pleasure at all. The soldiers came back from the war, took over from the useless civilians, and crafted a democratic state that somehow never goes the tyrannical way of every single military-led revolution ever (albeit in their democracy one you have to have your honorable discharge in hand to participate, or even to vote). Still essentially fantasy, masked as hard sci-fi.

If you'll grant Canticle for Leibowitz as a fairly idyllic self-contained "utopia" of post-apocalyptic monks, relating to technology and historical evidence as both incipient scientists and men of faith, this hints at an interesting approach to Mr. Crowley's course: a set of novels portraying utopias as designed by (fictional) scientists, soldiers, and priests. (Someone must have written about utopias designed and run by actual professional politicians, so that's a possible fourth viewpoint.) Identifying the overlaps and conflicts between these various utopias, based on the agenda of authors and/or characters, might be one interesting way to approach them.

(Someone above mentioned Anathem--a long, long read, but maybe a better example of society-building "priests of knowledge" than Canticle.)

P.S. I have to mention Italo Calvino's Invisible Cities: not one utopia, but a whole series of fantastic societies, each described in a page or two.

If you're looking for newer and hipper, Le Guin has a novella in Birthday of the World called Paradises Lost. Far subtler and lovelier than Dispossed or Omelas. Doesn't hit you over the head with a hammer. Takes a utopia and introduces a wonderful worm in the apple.