The best option if you wanted to do this would be to install SQL Server Express since you're not going anywhere near the memory limit of 4 gig that that product is bound by.
That way you're not going to incur any licensing cost for SQL Server provided you can live with the DB having a file size limit of 4 gig.
Tried it with SQL Server Express on Server 2008, pushed RAM usage right up to ~530/613 MB before even starting SQL Server.
Regardless, I'm glad to see the offering. Was looking for something similar and with the bar of entry constantly getting lower by competition rising, am sure it'll find a niche.
http://aws.amazon.com/windows/