Hi Zach, actually I could see it working. At the end of the day, whether selling through your own site or someone else's, it's going to need good content. Yes, bloggers, but there's no reason why those bloggers can't also be affiliates.
If I were your affiliate I would focus on writing content, from an interior design perspective, with the relevant links to your site. And, if I had an interest in interior design, finding an affiliate programme like yours might be just the thing I was looking for to enable me to write about something I love, and potentially earn additional income.
Also, was watching something on YouTube the other week about the history of content marketing. Sorry, can't remember the name of it.. but will look it up again. There is a pool supplier in the US that was struggling. They decided to make their site a destination for anyone looking for any information about pools. They focused on providing great content about all things 'pools'. The result was that their sales increased as a result of people coming to the site for the quality information they were providing. It's important to recognise the distinction... people came to the site for the information, and went away with a pool. The site was there to help, not sell. And ended up doing both. --- That was just a nod to the quality of information you should consider providing on your own site, and look out for potential affiliates who will also provide quality content. No dross.
Yes, there's all the relevant supporting documentation you need to get together for your affiliates, but that shouldn't be that difficult. There are affiliate programmes for all types of products, why not bespoke marble?
As long as you can ship and install the product wherever the customers are, why would this not work? And if it hasn't been done in this sector before well.... be the first!
Last point, there's also no reason why this should cost a fortune. Get your site professionally built on a CMS like Joomla! Use the professional version of the ecommerce component, Hikashop (about 200 euro I think), which has a built in affiliate programme feature. Make sure your supporting material for your affiliates is good. And try it.