You won't regret the extra cost of the brakes. Towing a 1600# trailer without brakes is fine, until you have a panic stop to make in traffic. We had one in Albuquerque shortly after the new axle was put in place & I'm glad things went well. As we crested a small hill in rush-hour traffic, a semi in front of us slammed on his brakes & locked it up. There was a highway truck picking up debris in front of him & it was a "blind" stop due to the hill. We were following at a safe distance, but it still ended up a panic stop when we saw him lock up his brakes, complete with smoke & large skid marks on the pavement.
Once a stop gets out of control, all of that hard work can be a loss in short order, to say nothing of damage to other vehicles. Towing with trailer brakes is the best way to go.