It goes much faster the second time, and third time, and ,, well you get the picture.
I would look for the source before pulling the water pump.
As you said the two short hoses are probably the source.
A good pair of sturdy needle nose pliers can get to the rear clamps.
Drain out that Tap water asap !!!
Only distilled water and A/F.
Also, the belts on the J have to be tighter than any other car Ive ever owned.