Alright, this is just a wild idea from a "mister fix-it".
Cut a straight seciton of titanium wire from a spinner bait, grind the wire down to fit inside each end at the break and epoxy the "internal splint" in place. Then rewrap with a guide foot over the break. The titanium wire will flex without bending or breaking.
A friend of mine broke 3" off the tip of a fiberglass fly rod back in 1973. He just glued it back to gether with Super Glue and it lasted for years. It was industrial Cyanoacrylates that we used at the Sunbeam factory. I guess there is not much pressure put on a fly rod tip section? Maybe there is not too much preasure 10" from the tip of your rod.
I used a section of graphite golf club shaft as an "internal splint" on a rod that broke near the butt. you can get a broken golf shaft from a repair shop for free. I cut the butt cap off, inserted the golf shaft, marked the length where it bottomed out inside the rod, cut it to fit 2" on either side of the break applied epoxy and used the rest of the shaft to push the splint in place. Then epoxied the front rod section in place. A little sanding, a thread wrap over the break and it looks good as new. It may have changed the balance a little, but not much.
Sorry, I got long winded. I would try the titanuim splint before I trashed the blank.