Various Tweet manager applications, social sharing plugins and twitter feeds making backlinking going wild through their products, with every your tweet they send their link. You can make the same, for free, and send links of your site in every tweet, reply or retweet.

Wordpress plugin Tweetable guide you step by step through process of tweet authentication, for less than 2 minutes you can post brandable tweets through your admin dashboard ; instead of helping hotsuite, marketmesuite, Shareaholic etc you can send your name of the site and link.
Check it.