The original tire size was 8.00-14 or 8.50-14 with A/C. Original wheel size was 14 x 6K. I'm no tire/wheel expert, but I'd guess that a 9.50-14 tire on a 6 inch wide wheel would pinch the sidewall of the tire in somewhat, bowing the tread surface and causing a smaller contact point.
Depending on how authentic you want your "super stock theme" to look, I'd suggest a thinner front tire. Here
https://hips.hearstapps.com/mtg-prod...75&format=webp
is a picture of Don Gay's 62 Catalina from the front.