Brad - I know zilch about the "Cadet" lawn tractors but thought this info might be helpful to you.
About 2-3 decades ago I ran across an IH 42" front snow/dozer blade with a sub-frame I couldn't figure out at the time. The major blade assembly itself looked exactly the same as blade used on an IH Cub Cadet Garden tractor, but the sub-frame was really strange. It appeared to have brackets that would mount to the rearend of the tractor instead of the frame. Several years later I saw info that this type of sub-frame was used on the "Cadet" lawn tractors.
After your post above I tried to look up the 182/282/382 in the CCC parts link on the CCC website. They have no snow blade attachment listed for any of these 3 Cadet models. They do list a snow thrower. Next thing I checked my paper version of my CPE-2 Parts book for IHCC attachments. It has a section for Blades and mentions Model 76 and 80 Cadets but not 182/282/382. I have no idea how similar these 5 models may be but thought a couple pics from my parts book, of the blade sub-frame for the Model 76 and 80, might be helpful for you. The sub-frame is diagram Item #15. My recollection from seeing just one of these in the past is that this thing is at least 4ft to 5ft long (just to give you an idea of the dimensions). I'm certain there are bone yards out there that have stuff with no idea what it's for. Hope this helps.