The worst curl I ever had with 120 film, (which I expect your film to be, since it's Tri-X 320), was Efke R100.
I had trouble with loading it on every kind of reel, except the Hewes stainless steel reels, where it slid on just like every other film does. The curl did not matter at all.
Winters here in Minnesota are extraordinarily dry, with desert low humidity. My problem with curl is always after processing where the films curl along the length of the film, Tri-X 400 being the worst, curling almost 180 degrees to form a half circle along the whole length of the film. Those negs are super difficult to scan for proofing, but fortunately my negative carrier makes it a piece of cake to print at least.