"Buy it now" on a specific product page

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We provide the fulfillment of a product that a company has purchased from us.  This product page isn't listed along side the rest of our offerings, and is only "purchasable" with a valid coupon code.  In an effort to make this process a simple as possible, I'd like to remove the "Add to Cart" button on this product page and replace it with the original "Buy It Now" button.  Seeing that we have enabled PayPal as a payment option for the rest of our store's offerings, the purchasing products buttons do what they want.  Is there a way to accomplish this on a single page?