I'm not sure what you are expecting from a "a site that would "interrogate" me on what I wanted and would then spit out template or theme suggestions"...
But I just played with Google Sites, and created a dummy site in a minute. You put an image where you want, you put text where you want, you add pages as you want. It's all simple WYSIWYG. I'm not sure what more you would get from something asking you for what you want?
Here, my test site is very impressive (j/k):
https://goo.gl/Gqd2wm
edit/add: If you go to the 'Classic' sites option, they have a bunch of canned layouts. I only played with it for a minute, looks like you need to choose it to see how it looks, but that's easy.
https://gsuite.google.com/learning-center/products/sites/get-started-classic-sites/#!/
-ERD50
You know, this just might work to begin with! I had thought about Blogger, but not Sites. Ease of use would definitely promote more use on my part. Hmmm .... will let you know how it turns out.