The fees depend on what merchant provider a company is going through. Braintree is what I use, and they charge a flat, albeit higher, percentage for all swipes, rather than have a huge list of the percentages. Here is an example of their breakdown of Costco's fee structure (yeah, you can get a costco merchant services account).
http://www.braintreepaymentsolutions.com/blog/Costco-your-ma...
I have no idea if what you proposed is possible, but my guess is that no one would accept that card :) I don't accept amex because I think it represents a fraction of actual users, and those users have other cards because they are used to getting told "nope, sorry don't accept amex".