Your problem might be more serious than you think.
Squirrels, as you have found, will damage your house, and they are rodents. All rodents chew to wear down their constantly growing teeth. Squirrels are a prime source of home fires; they chew the insulation off the electrical wires in attics. They also attack roofs.
You might want to either get professional help or increase your trapping. If it were my house, I would take the fight to them with a quality pellet rifle and traps.