I had similar symptoms to you when my timing belt failed last year. Quite a bad failure too like yours.
After refitting the new timing belt kit, new push rods & rocker arms we stuck the crank damper on and ran the engine up without the timing cover on for a short while. To see if we could see any issues as to why the belt had failed.
What we did notice was, the belt was running off the back of the FIP and cam sprocket (you could see it within minutes). It must have been running off gradually over a couple of thousand miles and rubbing on the engine casing, eventually snapping. The belt hadn't been fitted too long.
Anyway, we swapped the cam and FIP sprockets over, which in turn the belt was grabbing on the other side of the teeth. And it's been absolutely perfect ever since. I'm not sure if the sprockets wear at a certain milage, or even warp in someway. But all I can say is, it fixed mine.
I just wanted to throw that out there in case you end up having the same trouble.