No diameter is ok.
i think your not getting enough water due to pipes not having slight bend.
Here is a diagram. ( i know its pretty poor but might help) of what your realy after.
(the blue is the boat by the way, )
Now if your scoop is like this then it will give water cooling for sure unless thereis a restriction.
The flow from the prop will force water up the pips, diameter will only affect the amount of water.
with my 1/4 inch internal pipe and i could easy sink the boat within 5 mins if i took the pipe off inside the boat.
what sort of revs are the props turning at ?
car windscreen washers are great, if you get one with 2 pipes, i.e 1 for front window 1 for rear, then you
can always use the second pipe for bilge pump, or water cannon etc
phill