Yeah, I thought of it but I'm scared to leave my bag in the sun. I once left a backpack to dry on the balcony after soaking and scrubbing it. After 5 hours, the exterior was really hot while the inside was still quite damp. So I had to let it bake for a few more hours after turning it inside out. I don't want to subject my CP to that :S
The tape I used was just regular 3M tape, no worries! There was a lot of crap on the zippers, especially where they were sewn into the ballistic nylon. I find tape very useful for removing stray pet hairs (one of my cats is a cream-coloured FUR BOMB) or large specks of dirt. Gentle and effective.