I've always like Grant Peterson's advertising copy. This line is from the Homer Hilsen webpage: "All in all, it combines the best of a late-'60s road bike with the best modern materials and craftsmanship."
Road bikes up through the 60s did have lots of clearance for fat tires. I have a 1960 olmo gran sport with weinmann center pull brakes. It would have no problems with 32c tires and fenders. I have a 2000 soma double-cross. It can fit 32c tires and fenders but I had to cut some of the fender material away to let the front derailleur to move back and forth. Go figure.
The OP wants pretty fat tires. The Homer Hilsen will do it as it is designed for tires between 32 and 43 mm.