Other than email, how can you promote this product with those rules
 

It is just me or those guys don't give a little chance to an affiliate to make money?
This is the message we get on the dashboard panel.

================================================== ===
(******) runs extensive PPC campaigns. Driving traffic to our site via Google, Yahoo, Bing or other search engine PPC is against our affiliate terms. Driving traffic indirectly via PPC is also forbidden (for example, you use PPC to drive traffic to a specific landing page on your site that hosts our affiliate link). In any case, bidding on our brand name, product names, brand mispellings, etc. is against our terms.

If you do this, we will remove your account and will not pay you out for any referrals.
================================================== ===

I don't think they want any affiliate to sign up LOL

xD

Well, ask them for a list of methods they allow.

And maybe find other sites who promote them and see how they do it.

what above means is that they don't want you to pay for clicks on service like google adwords.

for instance when someone searches for "their brand" or "theirbrand.com" they don't want your site to outbid theirs in adwords.