In my opinion, there are better option for triceps.

Close grip bench press, floor press, decline tricep extensions would work better than this.

Huh? What do you mean that the upright row is a double edge workout?

Oh.
That's the first time I've heard about it.
I did dumbbell upright row almost daily for a year, during my noobie days. Never had a single problem.
Dumbbells instead of barbells, makes all the difference.