I have a model 417 front load washing machine.

I have a Kenmore model 417 front load washing machine. Recently, my wife washed our dog's bedding and the stuffing separated from the bedding shell... and as a result, the machine refused to go into the spin cycle. I removed the bottom panel and removed the pump and cleared the debris from the impeller, but feeling inside the hole that drains from the drum, I can feel the "cotton" stuffing sticking to the exit holes of the drum. I hope I stated the problem clearly. How do you suggest I remove the remainder of the debris from the outside of the drum?