It depends how you're planning on promoting the site, SEO or PPC etc. But I reckon for both of those now you'd need to have some half decent content on the site, both to rank in the SERPs and to get around the Quality Score for PPC.
I'm still not 100% sure what you're asking. What you need to do is to get the visitor from your site to the offer in the fastest way possible (I think you get this part already).
If it was an SEO'd content site, and you were taretting "baseball" for example as your niche. You could try a baseball blog with relevent (perhaps custom made) banners for the zip submit offers. Place them as you would Adsense for the best CTR.
As well as that you could try have a regular post (perhaps once every 2 days) where you promote a zip submit offer in a post, as well as providing good content.
The best thing to do is to create the site, bring in the traffic and track your results. Keep making small changes until you get a decent CTR and conversion rate for the offer.