While idling, very little air is moving through the radiator - probably because your fan is in the wrong location relative to the radiator.
While driving, air is forced through the radiator regardless of whether you even have a fan installed or not.
Your best bet is to purchase one of pre-68 Dave's water pump adapter which centers the original water pump in front of the radiator where it was on the original engine.
Read about your issue on Dave's site below:
https://chev235guy.blogspot.com/search/label/Water%20Pump%20Relocation%20AdapterPre-68 Dave's email:
[email protected]