Tight upper traps? Might be stemming from tight pecs/bad posture, especially if you have a desk job (as mentioned above). Check the balance of your workouts (shoot for at least a 1:1 pulling: pressing ratio, and if you do a lot of desk work, shoot for a 2:1 pulling: pressing ratio). And also make sure you're engaging your back (especially middle and lower traps, as well as lats) when doing pull exercises and not letting your arms take over (pulling with protracted or upwardly rotated scapulas), which will not only not help your current issue but also eventually cause rotator cuff problems. If your pecs are tight, you can stretch them/roll them with a lacrosse ball too, though I'd do any stretching after your workout, not before.
Neck pain during back workouts makes me wonder if deep neck flexors are weak. Which would go hand in hand with bad posture/tight upper traps/tight pecs. The normal rehab exercise for those are chin tucks, but sometimes normal rehab protocols don't work right for trained populations because it's not that the muscles are super weak, but just get overpowered by stronger muscle groups. Do chin tucks in case they are really weak for some reason (look them up on YouTube), but I would primarily focus on the middle and lower traps with pulling exercises, making sure the scapulas are downwardly rotated and retracted, and the problem may resolve on its own.