My team uses MSBuild on Teamcity to execute a publish profile. One of the nice features from publishing from Visual Studio is that the user has the option to load the URL found under the <Project><PropertyGroup><SiteUrlToLaunchAfterPublish> tag in the publish profile after deployment. I use this regularly as I get instant feedback if there was an issue of some kind with deployment.
I also currently use the TC Windows Tray Notifier to keep track of builds. Is there a way that the build client can ping the tray notifier, which in turn could launch the published URL after the build?