What we can do is redirect your static page’s domain towards the static page on the e-commerce website, it would then be seamless. I wouldn’t recommend having two websites to manage, it’s better to keep everything integrated.
Let me know if you need any assistance on the Shopify store, if you haven’t signed up for the trial yet; as Shopify Partners we have the ability to create Development Stores with no time limit until the building is complete.
Cheers!