My take on this is OP is attempting to bypass the shipping cost from Amazon and Ingram, buy copies of the books direct (author copies), and ship them at a reduced cost. The problem is the extra cost in Ingram and Amazon over author copies is based on the writer not being hassled by labor.
I've heard of authors who, upon launch, buy author copies and sign them and then directly ship them to each reader. When you work the math, this can be rather lucrative. If you sell a 100 books at author cost, you save somewhere around $5 per book. So you pocket $500, if you can sell 100 signed books to your readers (not to mention distributing books for reviews too

). The problem is the labor of sending all those books is time and time is money too. And you still have to factor in shipping cost. Basically, your selling books like in the olden days before POD.
Soooo... my take is OP is asking for a third party company to ship the book and mug for the writer.
Is that right? That would drop the price and make paperback/hardback revenue better. I'm all with it if such a service exists
and if it doesn't involve bogging me down with too much more labor. I could sell the paperbacks via my website too.