NEED HELP – 1970 440 BOGS & DIES OUT AFTER 20 MINUTES to HALF HOUR DRIVING

WHAT CAN CAUSE THIS? Please read all of this before offering advice. Thanks!
Here's the issue:
70 Challenger R/T. Stock 440, Auto Trans. Original Distributor with that retarded emissions retard module on it. Car runs nice on start up and first 15 minutes. After that it bogs when you give it gas, almost dies out, idles but will not accelerate. Have to pull over, let the car cool for 15 minutes, then drive. Same thing happens again. Happening for a year now since I got the car.
Carburetor was...

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Author: PGio