I am pretty sure CCM stopped making wood rims around 1928 or putting them on there bikes, other than racing rims .
The thing about the Dunlop style or Clincher if that what you want to call them that use wire beaded tires is it can be hard getting a modern tire on some times . You can look at a bunch of rims that all look the same and some will take the tire no problem and another you just can't get a tire on without some rim work. Been there done that. I have come to the conclusion if you want to ride the bike get New wood rims that for sure will take a modern tire.I have used the Stutzman rims that take a modern 700c tire with Alum insert and have bought around 10 or more pair and no problems. Most 1890,s 1900. bikes did offer the Dunlop rim as a option two single tube tires. just my take on it.