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Taking the time to look into what your TV's capabilities are before purchasing a new HTT or TT is a smart move. Most 1/2 ton trucks come with some attractive Tow Ratings and GCWR's, but most 1/2 tons fall short in the Payload Capacity as loaded tongue weights increase (loaded tongue weight is supported by the TV, thus reduces payload capacity).
Since you already have the Ram 1500, I would load the truck as if you were going camping (full fuel, passengers, cargo, etc.) and weigh it at a CAT scale. Subtract the CAT scale weight from your TV's specified GVWR that is identified on your driver's door. The remaining weight is what you have for the HTT/TT's loaded tongue weight, WDH weight, and any other weight not accounted for at the CAT scale.
Once you have this information you can narrow down what HTT/TT would be a good match to your TV. Think in terms of "loaded" weights when looking at trailers, the UVW's and DRY weights can be miss-leading if not referenced carefully. Also, the published UVW's are not Ship Weights, depending on the model it can add another 100lbs to 800lbs on top of the published UVW. If the RV dealer has the models on there lot that you are considering, look for a Yellow Sticker on an outside wall...., this will identify the actual Ship Weight (will save making an assumption).
To determine the potential "loaded" tongue weight of a given HTT/TT, RV and WDH manufactures recommend that the loaded tongue weight be in the range of 10% to 15% of the HTT/TT's actual loaded weight.
If you decide to weigh your RAM 1500 at a CAT scale, bring back the weight information and update this thread with the data. We can then look more closely at the HTT/TT you are considering under hypothetical loaded weight conditions ....., and see if your TV has enough payload capacity to support it.
Just some food for thought.