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Not sure of the answer, but I've seen HEI distributors on some of the sixes. Maybe they were all 300's, but not sure.
Why would you need to change the carb with the distributor? Are they really close together in such a way as the larger cap of an HEI conversion would interfere with the stock carb?
Do the listings for distributors show an HEI as being available for your engine?
Good luck. Hopefully someone has the answers for you.
Paul