Is the leak towards the outside of the core? If so, clean with a wire brush, then follow with a little alcohol/acetone on a q-tip. Then mix some JBWeld and use a cheap testors paintbrush to put it where you need, in small quantities. Just dab it into the area.
Let cure overnight, and leaktest it. If it still leaks, do the same thing again.
The waiting thing is a pain in the arse, but it will hold about forever....
If it's in the fin area at the end of one of the tubes, you might still be able to get in there to do the same repair by 'convincing' the fins to move a tad. Use some sandpaper on a popsicle stick to clean it instead of a wire brush.