As an extension of Tracy's comment... the only people that might see your ASP code are other people with access to the server.
If you need to hide it from other web developers and system administrators, you could write a little COM object that returns an ADO Connection object that is already connected... at least then your connection string will be compiled into the binary.
Anyone willing and able to decompile your code to get a connection string is likely skilled enough to get it into your database via some other means. You don't have to make it impossible, you just don't want to your ASP to be the "low hanging fruit.