There is not a ton of information available on Tucker trailers outside of photos even though many models were produced and are pictured in early literature.
The nomenclature from I have found seems to be by weight rating (tons) and/or model no which was features and or weight rating. It is quite likely the Tucker factory (west coast dealer) and Sno Cat Corp of NH (east coast dealer) had unique variants and branding especially during the early years.
Sno Cats produced into at least the 70’s came from the factory with a dash tag that said TOW EXCESS LOADS ON SKI TRAILERS.
What’s interesting is literature and photos seem to stop around the time Ed Gil Corp became the (east coast dealer) in the late 60’s and maybe prior.
Experts surmise that trailers tended to live with Tucker Sno Cats that did not have to be trailered for use and had specific task design such as people or gear hauling. Try taking a trailer on trailer and you will agree
East Coast Preserve puts forward a hypothesis that a confluence of factors such as Tucker Sno Cat model evolution with increased gear/people capacity, ski chairlift technology advancements, and other snow vehicle/machines entering the market obsoleted the highly coveted SKI TRAILERS long before availability ended if someone truly wanted one.