Most free sites lack the amount of space to handle an entire OOTP 2006 league as the files are so large. OOTP 6.x would work with less space but you still would be dealing with long upload times when using the in-game ftp.
Hopefully, molarmite can get you pointed in the right direction with your existing site. If you find your webhost doesn't give you the necessary tools and resources, see my sig
www.allsimbaseball.com. Get your whole website setup and customized for you and live tutorials to get you jump-started.
PM me if you have any questions.

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Fidel Montoya
Asahi2 Baseball Commissioner(Historical League Since 2004)
www.allsimbaseball.com (Hosting for OOTP with LIVE Online Tutorials)
Share Your Mods - Free, unlimited and easy to upload to share your Mods instantly(free site registration required)