Well, I think you still need to worry about the brakes. Electric trailer brakes sometimes go out (bad connection, broken wire) and you want to be able to control your load under any circumstances.
Your truck will handle your load under the circumstances you posted in your opening post. No doubt about it.
However, something you should check out
BEFORE you lay down the money, particularly to a friend, is whether your truck will fit under the gooseneck! With the trailer hooked up and empty, you need to have an absolute minimum of 6" clearance between the frame of the gooseneck and the bed of your truck. I don't mean almost or just about 6", I mean
at least 6". Even at that you may get gooseneck rash on your truck going through dips or bumps, or entering or leaving a driveway.
You should also look to see whether the trailer will sit fairly level hitched to your truck. Some goosenecks just aren't made to fit Dodge 4wd trucks. With a bumper pull, you can buy an extended-drop hitch, but for a gooseneck you are limited by the truck bed height.
I'm in the process right now of trying to lift a trailer I bought to give me more clearance over my pickup and to level the trailer. I have the 6", but the trailer sits at an angle and it's uncomfortable for the horses for a long haul.
Hmmm. You said Featherlite and something about great price? On second thought, tell me where he lives and I'll go hook it up to my truck...I'll let you know later if it would fit yours!