I have Cooper SRM II radials on my orginal 16" wheels. They have a high profile ("natural looking") and are blackwalls like the originals ("natural looking").
I have used these on my Suburban for about 9 years with tubes, and will be using the same tire on real nice original 1954 16" wheels without tubes (on a truck I am restoring).
The Suburban tracks and steers nicely (at low and high speeds).
Their loaded diameter at about 40psi is about 31.5"