If for any reason you are cautious about the up-right row, and using a heavier weight, than you might consider the pre-exhaust method. Used with a moderate weight. Do a set of shrugs immediately followed by a set of up-right rows. The traps are taxed (major part of the lift) by the shrugs so they can not assist that well with the up-rights. When doing the up-rights next, the delts take over (with help from the biceps) when doing the exercise. Making it a even better delt exercise. Lateral raises also work well with up-right rows, using the pre-exhaust method. Lateral raises first. Something like that classic delt pre-exhaust scheme of doing Lateral raises (more focused on the delts) first than the press behind the neck (compound shoulder exercise) right after. Good Luck.