The published weight is for an empty trailer so that number is going to up as you load it. By how much? Depends on the trailer and how you load it. I'd suspect it will go up by more than 100lbs though, exceeding the 1200lb bars.
What's the empty weight of the trailer that they use to calculate that tongue weight? With a GVWR of 9500lbs I'm going to guess it's around 8000lbs empty. At 1100lbs you would be nearly 14% of the trailer weight on the tongue. If that stayed close to the same as you load it you would be over 1300lbs as you approach the GVWR.
You may also want to verify if published tongue weight includes full propane tanks and a battery or not. Most brochure weights are "dry" weights and do not include those or added options. I'd have the dealer weigh it for you before deciding.