I had someone ask me about publishing a “preview” of a show and then putting the “full” version of the website (but not have the full version go to Apple, Google, etc). There are tools at Libsyn.com (use the coupon code sopfree for a free month) to help you do this ( File for download only).
In thinking about this, it sounds like you're adding an additional step for your audience to get your episode. That doesn't seem like a good plan. If you want people to go to your website to take an action (like signs up for a newsletter, etc) then give them the FULL version of the podcast, and ask them to your website to sign up for the newsletter (as only the super ENGAGED people will do that – and those are the people you want).
Try to make keep the path between you and your audience as clear as possible.
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