Yep. Always sorry to be the bearer of bad news, but Bob is right. Scamp is possibly the lightest 16' hard-sided trailer out there, and the base 1750 dry weight does not include a bathroom,
fridge,
furnace, hot water, AC,
battery,
propane, clothes, food,.. There's not much else to delete. Dry weights always go up, never down!
You will be hard-pressed to keep even a 13'er down to the weight you are looking for, but with an Element, that would be your best bet. A number of folks here do tow 13' trailers with Elements.