Take a peg board and cut it to fit on the bottom of your drawer. Get the right dowel rods to fit in the holes. Cut the dowels as high as you need them to keep things in place. Put dowels where needed to make compartments for the different size containers.
I wrap my meat in foil after putting the appropriate seasoning on the meat and stick it in my George Foreman grill. I also spray the foil with Pam for non stick cooking. the allows for quick clean up and moist flavorful meat.