I have radials on my '37, it will run 75 all day long with the 250, but I tend to stay around 65. I know the truck won't like an evasive move or lane change, even with all the improvements I have made.
The wheel you run were made when speeds were way slower, are they riveted together? That alone would make me think about speeds, straight-line would be OK, but what about a hard turn or heavy pot hole. Maybe look into a second set of tires and wheels, long distance driving for the newer ones, around town for the OEM's.
My biggest fear is the steering column, three point seat belts were a must have.
Joe, the wheels are riveted together with 14 rivets. That's why I'm wondering about the wheels themselves. I keep going back and forth on it. On one hand, they are '36 technology when speeds were much lower. On the other hand, two, and even three piece wheels are still made today. Wheel Vintiques makes an artillery wheel that appears to be constructed the same way. I also see lots of low profile aluminum wheels that are bolted or welded. My wheels seem pretty stout, but I'm not an engineer, which is why I brought up this entire topic. One other thought I had was road conditions back then compared to today. Granted there's a big difference in speed. Seems lateral forces and heavy braking would be a bigger concern than the speed itself, but I don't know.
And I share your fear of that steering column right there at my chest/face. Another reason I don't want to go fast in this truck, but we do have a lot of non-interstate highways with relatively low traffic where 55-65 mpg is the norm. Using them every now and then will be handy.