Having a different theme for each page?

This may sound like a weird question, but I am trying to build my squeeze pages for marketing WITHIN WordPress rather than creating a subdirectory to upload the landing pages too… I’ve heard of all the plugins, but their templates don’t really suit my needs (unfortunately). So, what I need is a way to implement a different theme on every page I create within the Dashboard (perhaps possible through templates?)

Any suggestions? If not possible, I’ll just go the longer route and create a subdirectory.