Steel Soldiers now has a few new forums, read more about it at: New Munitions Forums!
Microsoft MSN, Live, Hotmail, Outlook email users may not be receiving emails. We are working to resolve this issue. Please add support@steelsoldiers.com to your trusted contacts.
If residue from antifreeze, oozes out while you solder, it will be a problem.
It's best if the hole can be positioned straight up, but as you said, you want to avoid removal. If you have access to the hole, I think you can do it with the radiator in place.
At any point in the solder...
I use a nice big electric iron. Lightly sand it or use Scotchbrite, to clean the immediate edges of the hole. Flux it and the clean iron(I actually use a file to clean my iron tip). Tin your tip and touch the tinned tip to the hole, feed some solder on and pull away and see what you have...