I have had a bunch of old ford 1 1/2 tons from the '30s and '40s. I never run smaller than the 7.50 x 20s seen here on my '37 and '40. I did not have a problem with rubbing as you can see in the view from the rear. I like the look of the bigger tires and they are way more available without having to go to an antique specialty tire place. Another plus is the 'rubber overdrive' effect with larger circumference. On the '46-47 trucks I have ran 8.25 x 20s with no rubbing of duals heavily loaded. While they might cost you some points at Pebble Beach, my advice is to run the 7.50s.
PS, When your wife asks you what you want for Christmas, tell her a copy of 'Ford Trucks Since 1905' by Dick Wagner. Lots of tire info, and yes bigger tires were available as an option in '37
Attached are two tables published by Ford used to select the appropriate tire and rim size. Your truck was rated at a 3,000 pound (1-1/2 tons) with 6.00 x 20 front tires and single 6.50 x 20 rear tires. You should be fine with any tire and rim combination listed on the tables.
These tables are from a Appendix F of my book, which covers 1935 and 1936 trucks but has a lot of information for you 1937 truck too.
I have had a bunch of old ford 1 1/2 tons from the '30s and '40s. I never run smaller than the 7.50 x 20s seen here on my '37 and '40. I did not have a problem with rubbing as you can see in the view from the rear. I like the look of the bigger tires and they are way more available without having to go to an antique specialty tire place. Another plus is the 'rubber overdrive' effect with larger circumference. On the '46-47 trucks I have ran 8.25 x 20s with no rubbing of duals heavily loaded. While they might cost you some points at Pebble Beach, my advice is to run the 7.50s.
PS, When your wife asks you what you want for Christmas, tell her a copy of 'Ford Trucks Since 1905' by Dick Wagner. Lots of tire info, and yes bigger tires were available as an option in '37
Thanks for the input. Definitely not going to be a show truck so I’m not worried about losing originality points. I plan on putting it to use on the farm. I haven’t tried asking any local tire shops for 7:50-20 tires yet but just a quick search on line didn’t turn up much. Couldn’t even find prices for anything other than tubes. What brand of tires are you using and what kind of prices?
https://www.millertire.com/
This is the Miller Tire website………Mark