I don't know of any third party tools, but you could write a trigger to increment a counter in a table for either Update, Insert, Select, or Delete.  That would...

After I posted that, I realized you were after a specific table.  I don't think Perf Mon has what you need for that.

Try using Performance Monitor, look under PhysicalDisk monitors.  I believe you will find what you are looking for.

Does the account that your SQL Server service is logging in with have access to that machine?