Assumption - Higher the number of searches for your brand name on Google, better are your overall ranks.
Approach - Instead of linking directly to your domain name, type your domain name in Google and copy the result page URL. Shorten the URL using a shortner. Use this URL in your email...
Say I find a way to get 50 random people (real people, not bots) Google my brand name every day, click my listing and browse the site. I know PandaBot does the same, but it is done by bots.
You think somehow Google can smell a rat and penalize my site?