Whitewall tires are increasingly hard to find. With my online tire catalogs I see a couple all-seasons with a thin white wall, but that's about it. Coker classic doesn't make anything like that either, from what I can see.
You may have to go with one or the other, I'm afraid. Coker is the only tire I've seen that still has a true whitewall, and they do make radial all-seasons, if you want a real white wall tire. Anything else would just be that sad 1" strip. After you see the price, though, you may decide white walls aren't that important.
(Historical fun fact! Natural rubber is white. So when rubber tires came out, they were white too. But people complained that over time the tires would look dirty, so now we dye the rubber black. White wall & white letter tires have a layer of white in the sidewall construction which is then brought to the surface by various means.)