Yes, the idea has been discussed and for the safety, complexity & weight issues has been dismissed, some aeroplane makers have tried it in the past, but it's hard to beat the weight efficiency of modern radiators.
If you could channel the heat efficiently and eject it at the rear that would provide some drag reduction benefit, but still presents many problems.
If your grill block is designed properly, you will have recovered 80 - 90% of the drag problems there, trying to scratch out that last bit will require a lot of effort for not much gain.
Have you sealed all panel gaps into engine bay so the only air entering is through radiator?
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