How to Grill a Tomahawk Cowboy Rib Eye Steak to Perfection - RV Cooking. This video shows how we cook a Tomahawk Cowboy Rib-Eye Steak. We use a Coleman RoadTrip LXX Grill. This is our portable grill used when camping. The Tomahawk steak is cut between the 6th and 12th rib and gets its name from the long extended rib bone. This is one of our favorite cuts of steak. Buy the Coleman RoadTrip LXX Grill on Amazon. Watch on YouTube.