Getting per-module memory stats?
No, unfortunately, this is not possible. The used memory of a module is scattered among many functions, caches, etc.

There are tools which allow you to display the memory usage per function, how much time a function used, and so on; for example, there are XHProf and Xdebug, but both are PHP extensions and you will not be able to install them on a shared host.

You could, however, create a local installation (if you haven't already) and then check these tools out. Devel integrates nicely with XHProf, so you only need to install the extension, and enable the corresponding checkbox in the configuration settings of Devel.