For so few welds anything that creates enough flow will do, a tank with no cooler would as you suggest would be enough volume of water to not get hot.
The problem you could have is if your pump flow rate is low water might only pass through one way and back out, there may be several circuits in parallel and you need enough flow so some water goes through each.
I would guess that a hosepipe as Robotstar said would work well.
The problem you could have is if your pump flow rate is low water might only pass through one way and back out, there may be several circuits in parallel and you need enough flow so some water goes through each.
I would guess that a hosepipe as Robotstar said would work well.