I forgot to mention...

When I put Noah in his carrier we start out in the closet. The carrier is right outside the door with it's roof open. (His carrier also has a top loading door.) I got him in the closet and pet him and gave him treats, so he's totally calm. Noah LOVES to burrow, so the towel I put over him are welcome. I wrap him in the towel and place him in his carrier. He had no clue HOW he got in there.

With Cirrus, maybe that's what you need to do. Distract him in a small room and do it quick, even from behind.