Hey Jack,
I hope you don't mind me jumping in here. I do believe
that you have air in the cooling system. The water pump
will palpitate while getting on it as you say. At idle the
pump has to try and draw through the air pockets but
it looses the battle most times. It kinda like trying
to pump water without priming the hand pump.
Jack, take and raise the rear off the ground about a foot
then fill the system. This will force most of the air to
the highest level. I know it sounds crazy but thats
what works. From my expierence this most likely
your problem.
Get her goin' Jack, I want to see that car at the Fling !
Hersh