Greetings anonymous monk,

Without wanting to make a bad comment regards the design of the site (Ok I will, a nasty mix of ASP and JavaScript :P ), lets take a step back and solve your problem. A quick look at the search functionality shows that you can call the following url using WWW::Mechanize and store the results:
http://64.144.108.98/history/Allplayersstate.asp?State=AL
Substitute your own two letter state code for the correct results. Test this in a web browser to make sure that the results are as expected. I found this out by right clicking the search "AL" link on the "Advanced Search" page, and opened it in a new tab. You may want to contact the webmaster of the site to get permission for site scraping. If this is your first attempt at such things, be careful not to hammer the server with requests.

If this is your first time here please read the PerlMonks FAQ and How do I post a question effectively? if you have not already done so.

Hope this helps.

Martin