Does Microsoft offer an automated tool for App Deployment

They all support scripting that will allow you to build then deploy to your servers. This can be set up to run nightly, weekly, etc. you can also set it up to monitor your source control for changes and build anytime it sees a change.

In the last environment we setup we used TeamCity for all our builds and deployments (Which is basically to say we wrote MSBuild scripts and automated them with TeamCity). In short we had the following 5 build configurations:

Continuous Build - Automatically rebuilt our product upon every check-in. Running all the tests. This build did not deploy anywhere Nightly Build (Dev) - Automatically build and deployed our product to the development web server (no server farm). We build would run the tests, update the development database, shutdown the Dev IIS web site, copy the necessary files to our web server, and restart the site.

Test Build - Like our Nightly build only it deployed to our test environment and it wasn't scheduled so it had to be manually started by logging into Team City and pressing a button.

Stage Build - Like test only deployed to a web server that was externally visible to our customers sot that they could validate the application. Also, only run on demand.

Production - Created a zip file of our product that the deployment team could install on our production web servers.

So I guess what I'm suggesting is that you use TeamCity and then write build scripts in such a way that they'll deploy to your Web Farm. If you want examples I could supply you with the pertinent portions of our build scripts.