Ah No - it should be quite easy to achieve. There are two types of API calls for the Twitter API (IP based and OAuth). Oauth provides you 350 requests per hour. It's quite easy and off the shelf packages are available. So, in summary you could use 10 Twitter accounts and make OAuth requests from each of these accounts by polling.
1 hour = 3600 seconds Assuming you use 3500 seconds to make API calls (the rest 100 seconds is used for performing disk operations) 10 accounts should be more than sufficient.
:-)