I wish you luck but I do not think this is going to work.
First, you should have server-side code to list the files in the network share. You may or may not run into some permissions issues. I have done this with ASP code in the past.
To do it through javascript you have to go through the client's computer which means ActiveX controls, security warnings and of course a limitation to Internet Explorer only due to use of ActiveX.
The big problem is not listing out the printers but triggering the installation. Clicking on a link to a printer from IE does not trigger the printer install the same way it would when browsing to it through Windows Explorer. Someone else was attempting this in the ASP forum a while back and had no success.
At my age I still learn something new every day, but I forget two others.