340 running hot

Just curious, Was it a Mopar Performance pump, with the description it was for iron heads/drag racing: this one as shown p5249558, or remember the part# and brand?

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Not saying that this is your exact problem, just pointing something out in regards to water pumps.
6 vein pumps are for AC cars, 8 vein pumps are for non AC cars. Seems like it would be the opposite,right ? They also use different size water pump pulleys.
If you are using a 6 vein AC pump, with a non AC water pump pulley, it can effect your cooling.
On a non AC car, always run an 8 vein pump with the correct non AC pulley.