360 running hot…very hot

it was originally a slat 6 car. Its possible the fan was moved over to the 360....i dont have history on it sorry.

When I first swapped my '67 from a slant six to a 340 I continued using the 1970s era slant six replacement radiator. They are smaller but not so much smaller that they can't handle idling, especially if the engine hasn't been driven hard.
This is the answer I needed. Thank you 4mulas. Cross flow, plus a real shroud, plus a bigger fan. Thank you!! I'll report back with results. Thanks to all....i learned a lot in a short period of time!! This forum is awesome.

The factory info is a good reference for the what will do the job.
For 68 and 69 most v-8 got a 22" core radiator although 2bbl engines without A/C and without trailer or max cooling did get 19"
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Downflow may work better with the vented radiator caps which kept the system at atmospheric pressure most of the time.
Cross flow has some theoretical cooling advantages but I think in most cases, including this one, its a matter of what physically works best.

Fan is very important. By '68 all for v-8 were 18" diameter.
Differences were in the size and number blades.
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(Yellow outline was for someone looking for A/C equipped application)

Additional catch with a later engine in a pre 1970 model.
The later water pump is longer and its inlet points to the right instead of the left.

Transmission cooler in the bottom tank of the radiator is helpful in cold weather and often sufficient.
If pulling a trailer or racing, then an addtional trans cooler is helpful. I have one from transgo on my car about the size of yours.