If I was an Inside Fighter, I would not focus so much on what punches to throw in a set combination, as I would just trying to mix it up.

I would start off attacking the body with hooks to get the hands to drop down. Then I'd shoot a right uppercut as soon as he drops his hands down to protect the body. Then you can go off with Left Hooks and Crosses to the head.

I think if you lay your foundation with body punching, you'll have a good base to work off of, the head might move, but the body doesn't, and a good body puncher can really slow down a Outside Fighter with body punches.

Also look into shovel hooks, particularly the Left Body Shovel Hook. It hits the right side of an opponent's body, where the liver is located. The liver is protected by the ribs, but a good shovel hook hurts like hell and can go fighters.