you might be able to circumvent the problem by linking to your site for some kind of landing page, and then linking off to amazon with an affiliate link.
[0] https://affiliate-program.amazon.com/help/operating/policies
> (e) any Product purchased by a customer who is referred to an Amazon Site by a link that sends users indirectly to the Amazon Site via an intermediate site, without requiring the customer to click on a link or take some other affirmative action on that intermediate site (a “Redirecting Link”),
> Responsibility for Your Site > > 5. You will not engage in any promotional, marketing, or other advertising activities on behalf of us or our affiliates, or in connection with the Amazon Site or the Associates Program, that are not expressly permitted under the Associates Operating Agreement. For example, you will not engage in any promotional, marketing, or other advertising activities in any offline manner, including by using any of our or our affiliates’ trademarks or logos (including any Amazon Mark), any Content, or any Special Link in connection with an offline promotion or in any other offline manner (e.g., in any printed material, mailing, SMS, MMS, email or attachment to email, or other document, or any oral solicitation).