I have looked into this, as it behoves me for my jobs. And simply no, you can't do this on dreamhost. Mono's apache module can not be installed on the server becuase that would effect everyone on your machine, and Mono's XSP server is a consistent process and therefore can not be run on shared hosting servers.
You could pay for a dedicated server and then you'd be able to use Mono's apache module, but that's probably a bit more expensive than you want to pay for testing out scripts for school projects.
If you looks on Mono's website there are links (2 I believe) for companies that are running Mono services. the one I went to was currently offering free mono hosting with a 10mb storage limit - but not for long. They were planning on switching out to a pay service once the Mono code was sully stable.
Probably the most afordable way for you to test out Mono and your scripts would be to make a linux install on your system (dual boot if you want to keep windows) and then install Mono your self - though I won't deny it's a bit of an undertaking.
Hope this is helpful