Even if you have an actual pin weight from an owner, it does not mean this will be your weight unless you pack EXACTLY the same items (and their weight) in the EXACT locations at every spot on the rig. The OP just wants a number from an current owner just for the asking.
According to the website, the closest I could find are a 2012 or 2013 362RLQ which has a shipping weight of 11,605 and CCC of 2,450 (Gross weight = 13,855) and a pin weight of 2,055 or 14.832% (close to 15% for RV residential fivers). While it can be calculated that the pin weight can be expected between 15% and 25%, or 2078.25 to 3463.75 lbs, the OP is asking for a specific owner to provide their pin weight. From that we'll all know if the poster is within the weight but not specifically knowing the TV specs won't know if they are overweight at the TV.
twindman is aware that his '06 2980 is overweight for his TV. Per the website the '06 2980 shipping weight is 12865 and CCC is 2200 (or 15065 Gross weight). Documented pin weight is 2465 (16.32%). The PW should be 2465 to 3766 (16% to 25%). Twindman's current pin weight is 2800, which is within the range but still too much weight for his TV by about 600 lbs and he's aware of that.
Since the numbers for a 362RL are lighter than his current rig and he packs it with the same stuff in the same locations within the rig, then the weight should drop since the trailer itself has a gross weight (1210 lbs less), then it should help. If the trailer is less gross weight by 1210 lbs or (about 8%) then the pin weight could change by that same percentage or from 2800 to 2575, or 225 lbs lighter. You might still be overweight but by 375 lbs not 600. Your fat joke should turn into a chubby joke. I also hope my math is correct.