I've got four in the garage and one outside the garage that all fit your parameters, so yes you have options available. And I think the most I paid for any of them was $25 or less needing nothing more than basic maintenance and maybe tires. Timberlin (not Timberline), GT, Gary Fisher, Ross (the one in the yard), DiamondBack, Nishiki (hmmm, n+1 seems to have snuck into the MTB/ATB corner as I forgot about the Nishiki when I just ran out to the garage, when did I get that? Oh well....), others as well.

But while being great for winter commuters you might want some cush/suspension in the summertime if you'll be racing it, or not.

Keep an eye on your local craigslist since I see quite a few show up here locally.

Please excuse me for a bit while I head out to the garage again and see what else snuck in there that I forgot about ....