Funny but that fight you're talking about sounds a lot like a bonefish. One major run, one minor run, then a few back and forths. Maybe the comparison to bonefish is more apt than I thought.... They really don't fight a lot for their bulk, one run to about the end of your fly line, one to half of it and then just a lot of dodging five feet away at the end.
If there are a lot of tilapia around they also become accustomed to the pellets and are dry fly wonders. Up to 12 lbs.
When I was a kid I had a "Godmother" who escaped Czechoslovakia before the iron curtain fell. Her family for the holidays would buy a big live carp and keep it in the bathtub for a few days to clean it out, and that was Christmas dinner. I ended up taking her much younger sister, who the Soviet authorities had allowed to travel to the US (but made her leave her daughter behind to make sure she didn't defect) to a Grateful Dead show back in '82... but that's a whole different story.I thought people didn't eat carp... You can?