1987 Ford E-Series Van smoke coming from A/C & heat duc

I saw whitish smoke coming from my a/c & heater duct work.

I looked under the hood and I could see that I had a coolant leak from the radiator and I thought with the coolant dripping onto a hot radiator, that was causing the smoke.

Initially I thought the a/c & heater blower fan was sucking the smoke into the passenger compartment.

After changing out the radiator the smoke is still coming out of the duct system.

Now I am thinking that the heater core may have a leak in it because thus far I have filled the coolant recovery canister twice and the coolant is gone, from the canister.

Could you respond to this please. Thanks for your input.